Please help. How do you find cosine, sine, cosecant and secant with this triangle? ​

Please Help. How Do You Find Cosine, Sine, Cosecant And Secant With This Triangle?

Answers

Answer 1

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

sine (sin) = opposite/hypotenusecosine (cos) = adjacent/hypotenusetangent (tan) = opposite/adjacentcosecant (cosec/csc) = hypotenuse/oppositesecant (sec) = hypotenuse/adjacentcotangent (cot) = adjacent/oppositecosecant is the reciprocal of sinesecant is the reciprocal of cosinecotangent is the reciprocal of tangent

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

Trigonometric RatioAdjacent = 12Opposite = 10

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

a²+b² = c²

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

10²+12² = c²100+144 = c²244 = c²

Thus, the hypotenuse is:

[tex] \large \boxed{c = 2 \sqrt{61} }[/tex]

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

cosine (cosθ) = adjacent/hypotenuse = 12/(261) = 6/61 = (661) / 61sine (sinθ) = opposite/hypotenuse = 10/(261) = 5/61 = (561) / 61cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (261/10) = 61/5secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (261)/12 = 61/6

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)


Related Questions

Find the value of x with the other angles of 33 and 99

Answers

Answer:

48°

Step-by-step explanation:

33+ 99= 132

180 is the sum of all angles so u would subtract 132 from 180 giving you the answer

Answer:

If x is the last angle of a triangle, x=48. is its a just angles its, x=228.

Step-by-step explanation:

If it's a triangle its because triangle sum theorem states that all angles in a triangle add up to 180 degrees. So add the angles you know an subtract it from 180.

If it's just angels then you just need to again, add the angles you know but this time subtract it from 360 as that's he most degrees an angle can go.

Which of the following is the converse of the statement "If it is snowing,then
it is my birthday"?
O A. If it is not my birthday, then it is snowing.
O B. If it is my birthday, then it is snowing.
C. If it is not my birthday, then it is not snowing.
D. If it is my birthday, then it is not snowing.

Answers

Answer:

B)

Step-by-step explanation:

to get the converse, interchange the hypothesis and conclusion

in this case the hypothesis is "if it is snowing" and the conclusion is "then it is my birthday"

Converse would then be "If it is my birthday, then it is snowing"

It’s B and C:
B because its basically the same sentence but back words
C because if it’s not her birthday then it’s not gonna snow

A swimmer covers 180m in 20 seconds. How many metres does she swim in one second?​

Answers

Answer:

She swims 9m in one second

Step-by-step explanation:

can someone please help me

Answers

Answer:

yeah what you need help with

Emeka is thrice as old as Dora and Dora is
7 years older than Dupe. If the sum of their
ages is 38, how old is Dupe?
A 2 years
years B 7 years
D 31 years E 73 years
C 9 years​

Answers

Answer:

Step-by-step explanation:

let duke be x years

dora be 7+x years

and emeka be 3(7+x) years

according to question ur equation is

3(7+x)+7+x+x=38

21+3x+7+2x=38

28+5x=38

5x=38-28

x=10/5

x=2

Answer:

Step-by-step explanation:

3(7+x)+7+x+x=38

21+3x+7+2x=38

28+5x=38

5x=38-28=10

D.b.s by 5

10÷5=2

To get the x and the y

Answers

Answer:

x = 16

y = 20

Step-by-step explanation:

the left part of the triangle can be solved first as it already has one angle and 1 side, we use trigonometry for this.

since we have 2 sides and 1 angle, to find the third side length we use the pythagoras theorem. a² + b² = c²

; 9² + 12² = c²

; 225 = c²

;√225 = c

; 15 = c

since we have all the lengths of the triangle, we can find out the angle opposite to the side length '9',

; [tex]\frac{Sin x}{9} = \frac{sin90}{15}[/tex]

; [tex]\frac{Sin 90}{15}[/tex] x 9 = Sinx

36.86 = x

now, we look at the triangle as a whole, the top angle being 90 degrees, we know that we have 36.86.

; 90 - 36.86 = 53.13

[tex]\frac{y}{Sin 90} = \frac{12}{Sin 36.86}[/tex]

; [tex]\frac{12}{sin 36.86}[/tex] x Sin 90 = 20

y = 20

again, since we have 2 sides of a right angled triangle we use a² + b² = c²

we arrange this formula since we have the hypotenuse

; 20² - 12² = 256

; √256 = x

; 16  = x

How does the product of two fractions less
than 1 compare with the two fractions
being multiplied? Is the product greater
than, less than, or equal to each fraction?
How do you know?

Answers

Answer:

Less than

Step-by-step explanation:

EX:

1/2 * 1/2 = 1/4

1*1 = 1

2*2 = 4

when you multiply two fractions, you get a fraction of a fraction.

The line passes through the points (0, 2) and (-2, 2) is parallel to the line:

Answers

Answer:

Undefined

Step-by-step explanation:

you can't divide by 0

(-2-0)/(2-2)

Find the side length x. Round answer to the nearest hundredth.

Answers

8.66

14²-11²= 75
√75= 8.66

What's the result of subtracting the second equation from the first ? please provide steps <3
2x + 4y =2
-2x+ y = -9

Answers

Ans will be 4x + 3y = 11

what fration is equivalent to 12/48

Answers

Answer:

1/4 is the simplified fraction for 12/48.

3(2^2x+3)-5(2^x+2)-156=0

Answers

Answer: [tex]x=3.0206[/tex]

Step-by-step explanation:

Given

[tex]3(2^{2x}+3)-5(2^x+2)-156=0[/tex]

Replace [tex]2^x[/tex] by [tex]y[/tex]

We can write

[tex]\Rightarrow 3(y^2+3)-5(y+2)-156=0\\\Rightarrow 3y^2+9-5y-10-156=0\\\Rightarrow 3y^2-5y-157=0\\\\\Rightarrow y=\dfrac{5\pm \sqrt{25-4(3)(-157)}}{2\times 3}\\\\\Rightarrow y=\dfrac{5+43.69}{6}\\\\\Rightarrow y=8.115\\\Rightarrow 2^x=8.115\\\therefore \quad x=3.0206[/tex]

what is the reciprocal of 4 1/3?

Answers

Answer:

0.23076923076

You can search for any mathematical expression,

Please help ASAP IM IN DESPREATE NEED OF HELP

EVEN IF YOU COULD HELP WITH ONE I'D BE HAPPY I JUST DON'T UNDERSTAND WHAT THEY ARE ASKING.

Answers

Answer:

See the attached image for the graph of the first system.

Step-by-step explanation:

Here's how to graph the first system.

Start with the inequality [tex]-y \le -2x-3[/tex].  You can make this easier to work with by multiplying through by -1.  Remember to switch the inequality sign when multiplying by a negative number.  OK, you get the inequality

[tex]y \ge 2x+3[/tex].

The graph will be a half-plane -- all the points on one side of a line.  The line that is the boundary of the half-plane has an equation:  [tex]y=2x+3[/tex] -- just use an  =  sign instead of the inequality sign.

Graph the line.

The equation of the line is in slope-intercept form:  y = mx + b, so you can tell the y-intercept is 3 and the slope is 2 (think of it as a fraction 2/1).  Graph the line by going to the point (0, 3) -- the y-intercept -- then use the slope 2/1 interpreted as "rise over run" to go up 2 units and right 1 unit, arriving at the point (1, 5).  Draw the line through those points, (0, 3) and (1, 5).

Now you have to decide which side of the line the inequality [tex]y \ge 2x+3[/tex] is describing. To do this, pick a point which is not on the line, plug its coordinates into the inequality; if the result is true, shade the side of the line the point you picked is on (if false, shade the other side!)

An easy point to pick in this case is the origin, (0, 0).  Put zeros in for x and y in the inequality, and you'll get the statement [tex]0 \ge 2(0)+3 \, \Rightarrow \, 0 \ge 3[/tex].  That's false, so shade the side of the line not containing the origin.  In the image below, the shading is in purple.

All right, now for the other inequality, [tex]x+2\le 0[/tex].  Subtract 2 from both sides and the inequality becomes [tex]x \le -2[/tex].  This, too, graphs as a half-plane whose boundary line has equation [tex]x=-2[/tex].  Graph the line.  A line with an equation that has  x  in it but not  y is a vertical line with all its x-coordinates equal to the number on the right side of the equation.  This line is vertical and goes through points such as (-2, 0).

Pick a point not on the line (the origin works again).  Put the coordinates into the inequality to get [tex]0\le -2[/tex] which is false.  Shade the side of the vertical line which does not contain the origin.  In the image below, the shading is in black.

Finally,  YAY!  \o/ ,  the solutions to the system are all the points in the plane that got shaded twice.  In the image, they are the cross-hatched points above the purple line and to left of the black line.

Note: If you get a system with three inequalities, you'll be graphing three half-planes and looking for points that got shaded three times!

Note: One of your questions has the inequalities [tex]x \ge 0[/tex] and [tex]y \ge 0[/tex] in it.  These two inequalities say that the x and y coordinates are both positive or zero, confining your attention to Quadrant I in the upper-right part of a graph, above the x-axis and to the right of the y-axis.

Which relation is a function?


{(5, 0), (0, 1), (5, 2), (4,4)}

{(0, 1), (−4, 1), (4, 2), (−4,−1)}

{(3, 2), (2,1), (−1, 2), (3,3)}

{(1, 2), (2,4), (−1, 2), (0,3)}

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

D) {(1, 2), (2,4), (−1, 2), (0,3)}

»»————- ★ ————-««  

Here’s why:  

A function is a relation in which one element of the domain is assigned to exactly one element of the range. This means that the domain (x) values must not repeat.

⸻⸻⸻⸻

Option A's answer is incorrect, as the domain value of '5' repeats.

{(5, 0), (0, 1), (5, 2), (4,4)}  

⸻⸻⸻⸻

Option B is not a function due to the repeating '-4' value.

{(0, 1), (−4, 1), (4, 2), (−4,−1)}

⸻⸻⸻⸻

The '3' in option C's given relation repeats.

{(3, 2), (2,1), (−1, 2), (3,3)}

⸻⸻⸻⸻

Option D is the correct answer, as there are no domain values that repeat.  

{(1, 2), (2,4), (−1, 2), (0,3)}

Therefore, option D is a function.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Need help on this question asap pleasee :)

Answers

Answer:

Step-by-step explanation:

Formula for total surface area of of the triangular prism is:

Total Surface area (S) = Ph+ 2B

P = Perimeter of the triangular base

P = 6 + 8 + 10

P = 24 cm

h = height of the prism = 10 cm

B = area of the base

B = ½*bh = ½*8*6

B = 24 cm

S = 24*10 + 2(24)

S = 240 + 48

S = 288 cm²

Total surface area = 288 cm²

Answer each question and round your answer to the nearest whole number

Answers

The new height is 20 in.

Explanation:

Let the width and height of the original triangle be w1 and h1
w1 = 5 in
h1 = 4 in

Let the width and height of the enlarged triangle be w2 and h2
w2 = 25 in
h2 = ?

(Since the triangles are similar, we can use the ratio of the given sides)

h2 / h1 = w2 / w1
h2 / 4 = 25 / 5
h2 / 4 = 5
h2 = 5 x 4
h2 = 20 in

How do this I can’t do it?

Answers

Answer:

scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, scaled copy to original

scale factor = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]

what is the chancr of rolling a 7 or a 9 on two dice .

Answers

Answer:

5/18 0r 27.77%

Step-by-step explanation:

I am assuming both are six-sided and have numbers 1-6 on each of the six sides. There are 36 possible roll combinations. Of the 36, four result in 9 and six result in 7. Therefore there is a 10/36 chance of rolling a 7 or a 9. That can be simplified however by dividing by two on both numbers. That equals 5/18. As a percent you would divide 5 by 18 and get 0.2777. After that you multiply 0.2777 by 100 to get 27.77%.

Determine the length of the radius of the circumscribed circle to the right triangle with the legs 7 cm and 4cm.Round your answer to the nearest hundredth

Answers

Answer:

4.03cm

Step-by-step explanation:

Note that the diameter of the circumscribed circle to the right triangle is the hypotenuse of the triangle.

To get the diameter, we will use the pythagoras theorem as shown;

d² = 7² + 4²

d² = 49 + 16

d² = 65

d = √65

d = 8.0622577

Since radius = d/2

radius = 8.0622577/2

radius = 4.0311288

Hence the radius of the circumscribed circle to the nearest hundredth is 4.03cm

Guys, someone got it wrong. Were back at 56..Please give me the correct answer, guys.

Answers

The area of the trapezoid is 28mm^2

Answer:

8 + 6 = 14

14 x 4 = 56

56 x 1/2(basically just dividing by 2) = 28 mm2

Formula of area of a trapezoid:

B1(base 1) + B2(base 2) x H(height) x 1/2(basically just dividing by 2)

In this case, 8 is your base your other base is 6 and your height is 4.

How many different permutations can be formed using all the digits in 012313?
answers:
60
180
360
720

Answers

Option 180 would be correct
The Answer to this question is:
180

Please help I don’t understand

Answers

Answer:

the answer is 4th option

please please please help me ill mark you brainlist last question

Answers

Answer:

B. SF=1/2 (image was reduced)

Step-by-step explanation:

MARKING BRAINLIEST IF CORRECT + 50 POINTS!!!!

Part A: If (62)x = 1, what is the value of x? Explain your answer. (5 points)

Part B: If (60)x = 1, what are the possible values of x? Explain your answer. (5 points)

pls explain

Answers

Answer:

Part A : 1/62   Part  b : 1/60

Step-by-step explanation:

Well lets start with part A

(62)x=1

anything in parenthesis means multiply

62x= 1

divide everything by 62 to get x by itself

x= 1/62

Part A : 1/62

Part B : 60x = 1

x = 1/60

because same  reasoning

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

Step-by-step explanation:

take 42 degree as reference angle

using sin rule

sin 42=opposite/hypotenuse

0.66=6.4/x

x=6.4/0.66

x=9.69

hey! pls help i’ll give brainliest

Answers

Answer:

landslide

Step-by-step explanation:

Answer:

I believe that the answer might be the second one

Volcanic Eruption

The distance between mumbai and dubai is about 1940 km if the cruising speed of the emirates flight is 595 km/hr how long does it take to reach dubai from mumbai

Answers

Answer:

3.26 hours

Step-by-step explanation:

speed = distance / time

595 = 1940 / t

t = 1940 / 595  = 3.26 hours

or

Lin charges $5.50 per hour to babysit. The amount of money earned, in dollars, is a function of the number of hours that she babysits.

Which of the following inputs is impossible for this function?
A:
-1
B:
2
C:
5
D:
8

Answers

-1 would be impossible.Since we are using the format of time there is no possible way to have a negative value

What are the following algebraic equations? You need to post those if you want the answer.

PLEASE HELP!!!! Write a solution for the equation 6x-8=4x

Answers

Answer:

X=4

Hope this helped some.

Answer:

4=X

Step-by-step explanation:

6X-8=4X

-8=-2X

-8/-2= 4X

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