Prove the identity. Sin(theta) cot(theta) sec(theta)=1

Answers

Answer 1

Answer:

Step-by-step explanation:

cot(theta) = cos(theta)/sin(theta)

sec(theta) = 1/ cos(theta)

sin(theta) * (cos(theta) ) / sin(theta) ) * 1/cos(theta)

The sin(theta)s and the cos(theta)s are on opposite sides of the division sign. So you are left with a bunch of ones.

The identity is proved.

Answer 2

Answer:

See below for explanation

Step-by-step explanation:

sinθcotθsecθ

sinθ(cosθ/sinθ)(1/cosθ)

sinθ(cosθ/sinθcosθ)

sinθ(1/sinθ)

sinθ/sinθ

1

Therefore, the identity is proven.


Related Questions

Find the sum of 567.20, 890 & 12.901

Answers

Answer:

Use a calculator

Step-by-step explanation:

Step-by-step explanation:

567.20+890+12.9011470.101

stay safe healthy and happy.

The Cooper family and the Reynolds family took a
vacation together. The Cooper family spent two-
thirds as much as the Reynolds family spent on the
vacation. If the Cooper family and the Reynolds
family spent $1,650 in all, how much did each family
spend?

Answers

Answer: well 2/3 of 1650 is 1100 so 1650-1100=550, so the cooper family spend $1100 and the reynolds family spent $550

Step-by-step explanation: i think that’s right

How many times does the graph of the function below intersect or touch the x-axis? y=-3x2 + x+4 A. 2 B. 1 C. 3 D. 0​

Answers

Answer:

this is your ans.. i hope it is helpfull

PLZZZZZZZZZZ HELLPPPPPPPP WILL GIVE BRAINLIEST

Answers

Answer:

(xy)^72

Step-by-step explanation:

Jackie had her hair done and gave her stylist a 20% tip. Her haircut and color was $120.

Answers

Answer:

She gave her stylist a 24 dollar tip.

;p

Working alone, Wilbur can mop a
warehouse in 11 hours. Perry can mop the
same warehouse in 9 hours. Find how
long it would take them if they worked
together.

Answers

It would be 20 hours

Step-by-step explanation:

let me know if I am wrong thxs

What is the quotation -4/5 divided by 2

Answers

Answer:

-0.4

Step-by-step explanation:

Exact form : -2/5
Decimal form : -0.4

HELP! WILL MARK BRAINLIST!!!!!!

Answers

The answer is C , hope I helped have a good day !

When the following quadratic equation is written in standard form, what is the value of "c"?

-3/4x^2+2=0

-8
-6
-2

Answers

Answer:

Then value is 2

Step-by-step explanation:

standard of quadratic is A[tex]x^{2}[/tex]+Bx+C=0

and 2 is where C is.

sorry for the bad  explanation but, trust me I did this type of question in class yesterday

WILL GIVE 100 POINTS TO WHOEVER ANSWER THIS CORRECTLY. In the similarity transformation of abc to def, abc was dilated by a scale factor of ?, reflected across the , and moved through the translation

Answers

Answer:

Dialated by a scale factor of two, reflected across the x axis, and transformed three units left

Step-by-step explanation:

The triangle was dilated by a scale factor of 2

What is similarity transformation?

One or more stiff transformations (such as reflection, rotation, and translation) followed by a dilation make up a similarity transformation. An image that resembles the original figure is produced when a figure undergoes a similarity transformation.

The following steps are followed while determining the similarities:

Step 1 is to identify the triangles' pairs of corresponding sides and pairs of matching angles. Step 2 Redraft the triangles with the same orientation and space between them. Step 3 Give the triangles names and create a similarity assertion,making sure to maintain the order of corresponding vertices.

Solution:

Given:

AB=2, AC=1, BC=√5

DC=4, DF=2, EF=2√5

So scale factor is 4/2 = 2/1 = 2√5/√5 = 2

hence we get tha scale factor as 2.

Therefore, In the similarity transformation of abc to def, abc was dilated by a scale of 2.

Learn more about " Similarity of transformation" here-

brainly.com/question/26836817

#SPJ2

What are m<1 and m<2? Please help me

Answers

Answer:

Your answer is B

Step-by-step explanation:

The rule for angles is that 115 and the angles right next to it, the ones that form the x, will equal 180. That means all you have to do is 115-180=65.

Another rule is that the interior angles of a triangle will be 180, so you add the angles we know in each triangle, 80+65+angle 1 = 180. If you do this correctly you should get angle 1 to be 35. Then you repeat on the opposite side except this time the angles are 85+65+angle 2 = 180. If you do this one correct you should get 30. Which makes your answer B.

Sorry if this is confusing the book will have better explanations than I can give.

Answer is

First, work out the angles around the center between the two triangles.

The angle opposite m115 is equal as they are opposite angles.
115+115=230
360-230=130
130/2=65

Again, both angles around the center point in both triangles will be 65 degrees as they are opposite angles.

Angles in a triangle add up to 180 degrees, so:
180-80-65 = 35 degrees for angle 1
180-85-65 = 30 degrees for angle 2

Identify the initial conditions y(0) and y'(0) for the vertical motion of an object, if the object is thrown downward at a velocity of 6 m/s from a height of 30m. (take the origin to be on the ground)

Answers

Answer:

The right solution is "y(0) = 30 m" and "y'(0) = -6 m/s²".

Step-by-step explanation:

Given,

Velocity,

u = -6 m/s

Height,

h = 30 m

Now,

By using shifting of origin, we get

⇒  [tex](y-30)=-6t+\frac{1}{2}(-9.8)t^2[/tex]

       [tex]y-30=-6t-4.9t^2[/tex]

               [tex]y=30-6t-4.9t^2[/tex]

hence,

The value of y(0) is:

y(0) = [tex]30-0-0[/tex]

      = [tex]30 \ m[/tex]

The value of y'(0) is:

y'(t) = [tex]-6-9.8t[/tex]

y'(0) = [tex]-6 \ m/s^2[/tex]

Please help I’ll give brainliest

Answers

Answer:

it answer would be 50% coz we take out percentage from 100.

Step-by-step explanation:

first add 17% and 33% it would be 50%

then subtract 50%from 100%

answer would be 50%

50%

Add the percentage to get a 100

What is 75 percent of 28?

Answers

Answer:

21 is 75% of 28

Step-by-step explanation:

75% = 0.75

28(0.75) = 21

Simplify:
4(2 + 2c) =

Answers

Answer:

4(2 + 2c) = (4×2) + (4×2c) = 8 + 8c

Step-by-step explanation:

If a triangle has side lengths 7, 10, and 12, is it a right triangle??

Answers

Answer:

No. Remember, a right angle must have a 90 degree angle. We can find the lengths with the Pythagorean Theorem.

Step-by-step explanation:

Given the length 7, 10, and 12, we can assume that 12 is the hypotenuse (it is the longest length).

- we can use 7 and 10 interchangeably.

Fill in the equation, [tex]a^2 + b^2 = c^2[/tex]

                 where c = 12, and a or b = 7 or 10.

To indicate if the given lengths would form a right angle, we can only input 7 or 10, not both.

Therefore, [tex]7^2 + b^2 = 12^2[/tex] or [tex]10^2 + b^2 = 12^2[/tex]

[tex]7^2 + b^2 = 12^2[/tex] ==> 49 + b^2 = 144 ==> b= [tex]\sqrt{95[/tex] ==> 9.746

b= 9.7, not 10.

[tex]10^2 + b^2 = 12^2[/tex] ==> 100 + b^2 = 144 ==> b = [tex]\sqrt{44[/tex] ==> 6.633

b= 6.6, not 7.

Therefore, the lengths 7, 10, and 12, does NOT make a right triangle.

Hope this helps!

Liberal Arts Total Engineering and Physical Sciences 368 Health and Human Services 882 2142 A B Lower than B Total 1890 2268 432 800 630 588 Write all probabilities in correct notation, rounded to three decimal places. Show your work. If you know the grade was lower than a "B", what is the probability that the class was taught in the School of Liberal Arts?​

Answers

Answer:

huh i dont understand

Step-by-step explanation:

3.) What relationship do angles 1 and 2 have? Check all that apply.
1 Supplementary
2 Complementary
3 Vertical
4 Adjacent

Answers

Angles 1 and 2 are adjacent angles because they share a common side.

x^100+1 divide by x+1​

Answers

Answer:

x=-1

Step-by-step explanation:

[tex] \frac{x ^{100} + 1 }{x + 1} [/tex]

[tex]x + 1 = 0[/tex]

[tex]x = - 1[/tex]

give another name for plane r

Answers

Answer:

P maybe

Step-by-step explanation:

Choose all expressions equivalent to 32 + 24

Answers

Answer:

32+24 = 56

Step-by-step explanation:

i need help
please solve all​

Answers

Answer:

1) 37 degrees

2) 39 degrees

3) 27 degrees

4) 320 degrees

5) 136 degrees

Step-by-step explanation:

1) 81-44

2)98-59

3) a square is : 90-63

4) a full circle = 360-40

5) half a circle = 180-44

Please help!!
Answer the question below

Answers

I say the answer is c

Answer:

B

Step-by-step explanation:

a=25

b=1/5

c=1

d=25

A survey of Lakeview High School students found that 72% of the students had eaten breakfast that morning. If two students are chosen at random from a group of 100 students, what is the probability that at least one of them did not eat breakfast that morning?

Answers

Answer:

4.26 * 10^-12

Step-by-step explanation:

Usibg the binomial probability relation :

P(x =x) = nCx * p^x * q^(n-x)

Probability of success = probability of not eating = 1 - 0.72 = 0.28

p = 0.28

q = 1 - p = 0.72

Probability that atleast one out of 2 chosen did not eat breakfast :

P(x ≥ 1) = p(x = 1) + p(x = 2)

P(x ≥ 1) = (100C1 * 0.28^1 * 0.72^99) + (100C2 * 0.28^2 * 0.72^98)

= 4.26 * 10^-12

Math math math math help

Answers

Answer:

The answer is B.

Step-by-step explanation:

You simply just simplify the expression. When you do this you get x to the third, 2x squared, and 4x. I hope this helps!!

Answer:

B

Step-by-step explanation:

x*x*x=x^3 (x cubed)

x*x=x^2 (x squared)

We CAN'T add up x's here.

They're from different families.

So, B is correct:)

One-sixth of a certain number is four more
than one-twelfth the number. Find the number. a. 6 b. 18 C. 36 d. 48

Answers

let number be x

1/6x - 1/12x= 4

1/12x=4

cross multiply

x= 12 x 4

x= 48

If one-sixth of a certain number is four more than one-twelfth the number, the required number will be 48.

Let the unknown number be 'a'

One-sixth of the number is expressed as 1/6 a ..... 1

One-twelfth the number is also expressed as 1/12 a

Four more than one-twelfth the number will be written as:

1/12 a + 4 .... 2

Equating 1 and 2 will give:

1/6 a = 1/12 a + 4

a/6 = a/12 + 4

Collect the like terms

[tex]\frac{a}{6} - \frac{a}{12} = 4[/tex]

Find the LCM

[tex]\frac{2a-a}{12} = 4\\\frac{a}{12} = 4[/tex]

Cross multiply

a = 12×4

a = 48

This shows that the required number is 48

Learn more on equations here: https://brainly.com/question/14034270

Colin pays £721.45 a year on his car insurance.
The insurance company reduces the price by 9.2%.
How much does the insurance cost now?
Give your answer rounded to 2 DP.

Answers

Answer:

Id

I forget

Step-by-step explanation:

The answer is 655.08, 9.2% of £721.45=66.3734, 721.45-66.3734=655.0766, when you round it to 2DP the final answer would be 655.08

Please help me! DO NOT SEND LINK!

Answers

Answer:

So option 4; [tex]\frac{35}{100}[/tex] is the correct option

Step-by-step explanation:

First, we need to convert [tex]\frac{2}{10}[/tex] so it's denominator is 100. To do so, we will multiply the numerator and denominator by 10

[tex]\frac{2}{10} *\frac{10}{10} = \frac{20}{100}[/tex]

Second, we need to add the two fractions to get the current total distance walked. Remember, when adding fractions, the denominator does not change.

[tex]\frac{45}{100} + \frac{20}{100} = \frac{65}{100}[/tex]

Now that we have the total distance walked, we need to subtract that to 1 mile. [tex]1mile=\frac{1}{1} = \frac{10}{10} =\frac{100}{100}[/tex]

[tex]\frac{100}{100} -\frac{65}{100} = \frac{35}{100}[/tex]

So option 4; [tex]\frac{35}{100}[/tex] is the correct option

Additional mathematics

Answers

Answer:

I don't know what you want me to answer but this is the definition=Additional Mathematics is a qualification in mathematics, commonly taken by students in high-school (or GCSE exam takers in United Kingdom). It is applied to a range of problems set out in a different format and wider content to the standard Mathematics at the same level.

Step-by-step explanation:

Answer:

Solve for P Move all terms not containing P to the right side of the equation. p=2+2q−2r     Solve for q Isolate the variable by dividing each side by factors that don't contain the variable q=−1+P2+rSolve for r Isolate the variable by dividing each side by factors that don't contain the variable. r=1−P2+q

i hope i helped:)

have a nice day/night:)

What are the ways to determine if a relation is a function? Select EACH correct
answer.

Answers

Answer:

Step-by-step explanation:

Here hope helps sry if wrong
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