Dado que sen =9/10 y cos =8/10, encuentre los valores restantes de las cuatro funciones trigonométricas.

Answers

Answer 1

Answer:

tgα = 9/8

secα = 10/8

cscα = 10/9

ctgα = 8/9

Step-by-step explanation:

PAra resolver esto, es necesario conocer como se determinan las funciones trigonométricas en general. Ya tenemos el valor del seno y coseno de un angulo dado (supongamos un angulo α)

Si senα = 9/10 y cosα = 8/10, para calcular la tangente se aplica la siguiente expresión:

tgα = senα / cosα  (1)

Reemplazando tenemos:

tgα = (9/10) / (8/10)        Aqui se simplifican los 10, y nos queda

tgα = 9/8

Nos quedan 3 funciones, y son las inversas de estas 3 funciones anteriores, y se determinan de la siguiente forma:

secα = 1 / cosα   (2)

cscα = 1 / senα   (3)

ctgα = 1 / tgα = cscα / secα  (4)

Aplicando estas 3 expresiones tenemos:

secα = 1 / (8/10)           Se aplica inversión de numerador y denominador

secα = 10/8

cscα = 1 / (9/10)

cscα = 10/9

ctgα = 1 / (9/8)

ctgα = 8/9

Espero te sirva


Related Questions

HELPPPPPP
solve the equation for x

2/3x-1/9x+5=20

Answers

Answer:

x=27

Step-by-step explanation:

You want to isolate the variables so you subtract 5 from both sides. Therefore the equation will be 2/3x-1/9x=15. You want to take away the fraction because no one likes fractions. You have to multiply everything by 9. Therefore, the equation will be 6x-x=135. 5x=135. You want to isolate x so you have to divide each side by 5. x=135/5. Simplify to get x=27.

If this has helped you please mark as brainliest

Without looking, Tammy takes a marble out of a bag that contains 10 red marbles, 15 green marbles, and 25 blue marbles. She records its color and returns the marble to the bag. If Tammy repeats this process 90 times, how many times can she expect to pull out a red marble?

Answers

I think it’s 18 and I will explain how I got that

Explanation: so first I added all the marbles she took out to see the total she took out which was 50 and if she did it 90 times I need to see how much time 50 she did it more and that was so 90 divided by 50 is 1.8 and that times 10 (times because we want to see how many times the red marble would come out) and that’s 18

Answer:

18 is the answer

Step-by-step explanation:

added all the marbles she took out to see the total she took out which was 50

if she did it 90 times I need to see how much time 50 she did it more and that was so 90 divided by 50 is 1.8 and that times 10

(times because we want to see how many times the red marble would come out) and that’s 18

hope this helps u

Have a nice day : )

Mark brainliest

X m, 6 m, 12 m
mathematics and inaquality

Answers

Answer:

djajahshshsk manually sjss

The ratio x:y is 1:3
Which of the following statements are correct?
A. x is 1/3 of y
B. y is 2 of (x + y)
C x is 1/4 of y
D. y is 3/4 of x​

Answers

Answer:

A. & B. are the corect answers

Step-by-step explanation:

Answer:

A and B

x is [tex]\frac{1}{3}[/tex] of y

AND

y is [tex]\frac{3}{4}[/tex] of (x+y)

Step-by-step explanation:

x:y is 1:3

=>  y is bigger than x

=>  y is 3x bigger than x

=>  y = 3 lots of x

=>  [tex]y =[/tex] [tex]3x[/tex]

=>  [tex]\frac{y}{3}[/tex] [tex]= x[/tex]

=>  [tex]\frac{1}{3} y[/tex] [tex]= x[/tex]

So x is [tex]\frac{1}{3}[/tex] of y

y is [tex]\frac{3}{4}[/tex] of (x+y)

If x = 1 and y = 3 (substitute in values)

=>  3 is [tex]\frac{3}{4}[/tex] of (4)

=>  3 is [tex]\frac{3}{4}[/tex](4)

=>  3 is ([tex]\frac{3}{4}[/tex]x4)

=>  3 = 3

Therefore, y is [tex]\frac{3}{4}[/tex] of (x+y) is true

So the answers are:

x is [tex]\frac{1}{3}[/tex] of y

AND

y is [tex]\frac{3}{4}[/tex] of (x+y)

Given circle Q a measure of SR = 120 degree and a radius of 9 feet, as shown below determine the arc length of SR use mathematics to explain how you determined your answer. 

Volume and circles
Help please ❤️

Answers

Answer:

Arc length SR = 18.85 ft

Step-by-step explanation:

To get the arc length, we use the formula below

theta/360 * 2 * pi * r

theta is the central angle subtended by the arc which is 120 degrees

r is the radius of the circle which is 9 ft

Substituting these values, we have

120/360 * 2 * 3.142 * 9

= 18.85 ft

Help plzzzzzz 1. Use your expression from Exercise 15 to find the total cost of 8 play tickets and 8 choir concert tickets
exercise 15 is Rory buys t play tickets at $14.50 per ticket and t choir concert tickets
at $5.50 per ticket. What is the cost for play tickets and choir concert
tickets?
plz help

Answers

Answer:637

Step-by-step explanation:

7362 is the andwrr

HELP PLEASE. A truck bed has a volume of 120 cubic feet. The bed is 4 feet wide and has a height of
3 feet. What is the length of the bed?
Options:

A: 40
B: 1
C: 3
D: 10

Answers

Answer:

D

Step-by-step explanation:

Volume = lwh

120 = l(4)(3)

l = 10 feet

I need answers asap please!!!:)​

Answers

Answer:

70 mb

Step-by-step explanation:

264 picture = 528 mb

35 pictures = ?

Solve for one picture:

Variable x = mb per 1 picture

264/528 = 1/x

Cross multiply:

264 × x = 528 × 1

264x = 528

x = 528 ÷ 264

x = 2

Each picture takes up 2 mb.

Multiply the number of pictures per 2 mb:

35 pictures × 2 mb

70 mb total

-7n = 84 round to the nearest hundredth​

Answers

Answer:

n=-12

Step-by-step explanation:

Divide 84 by -7 and you get -12

4. If f(x)=2x+3(x+4)+5 then f(6)=?

Answers

Answer:

f(6)=42

Step-by-step explanation:

We know that the equaiton is f(x)=2x+3(x+4). So that means when it is f(6), we plug in 6 into all of the x. Therefore, the equation will be f(6)=2(6)+3(6+4). We combine like terms to get f(6)=12+3(10). We do 3x10 which is equal to 30. f(6)=30+12. 30+12=42. f(6)=42. Therefore, f(6)=42.

If this has helped please mark as brainliest

Answer: 47

Step-by-step explanation:

That just means replace the x’s with 6 in the equation. So 2*6+3(6+4)+5. 6+4 is 10, 2*6 is 12. So the equation is now 12+3(10)+5. 3*10 is 30. 12+30+5=47.

Given α and β are Supplementary. Show the necessary steps.

If α =3/2β then, what is α = ? and what is β = ?​

Answers

Answer:

[tex] \alpha = 108\degree, \: \beta = 72\degree [/tex]

Step-by-step explanation:

α and β are Supplementary (given)

[tex] \therefore \alpha + \beta = 180\degree.... (1)[/tex]

It is given that:

[tex] \alpha= \frac{3}{2} \beta[/tex]

Plugging the value of α in equation (1), we find:

[tex] \frac{3}{2} \beta + \beta = 180\degree[/tex]

[tex]\therefore \frac{3+2}{2} \beta = 180\degree[/tex]

[tex]\therefore \frac{5}{2} \beta = 180\degree[/tex]

[tex]\therefore \beta = 180\degree\times \frac{2}{5}[/tex]

[tex]\therefore \beta = 72\degree[/tex]

[tex]\implies \alpha= \frac{3}{2} \times 72\degree= 108\degree [/tex]

So,

[tex] \alpha = 108\degree, \: \beta = 72\degree [/tex]

Line m is represented by the equation below. Select all equation that represent lines perpendicular to line m.

Answers

Answer:

y = -2/3x + 4

y+1 = -4/6(x + 5)

Step-by-step explanation:

y = -2/3x + 4

y+1 = -4/6(x + 5)       *-4/6 is equal to -2/3

perpendicular lines have slope that are opposite signs and reciprocals

the slope of the original line in this problem is 3/2 so any line with a slope of -2/3 is perpendicular to it

Answer:

it will be any equation with a slope that is the opposite reciprocal of 3/2 or it's equivalent. So in this case, -2/3. be sure to check the negative does and see if other slopes are the same as -2/3 but in a different form.

simplify r +5/2 + r-4 /3​

Answers

Answer:

      2r+7/6

Step-by-step explanation:

Answer:

2r +7/6

Step-by-step explanation:

See the steps below:)

Solve by elimination {(x+3y=4),(-x+4y=10)

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

Ben walks to the zoo, and then walks to the city park. What is the least number of blocks Ben walked?

Answers

Solution :

It is given in the question that Ben goes to the zoo by walking and then he walks down to the city park. He moves several blocks while walking from his home to the zoo and then to the city park.

The figure is provided below.

So from the picture, the least number of blocks that Ben had walked from his home to the city park can be found out by counting the number of blocks he moved.

So the least number of blocks will be = 19

The heights of the girls on a basketball team are shown in the table.
pls hurry

Answers

i believe it's 14 if you find the difference between the largest and smallest number

Does anyone know the answer to this question?

Answers

It’s 7 because 7 times 7 is 49

Find X and angles R and L. Please help me with this

Answers

I remember learning about this. You can go on Khan academy it is very helpful.

help me plz i’m begging :(

Answers

Answer:

(x2 +2x+1)+(y2+4y)=31+1

(x+1)2 +(y2+4y)=32

(x+1)2 +(y2+4y+4)=32+4

(x+1)2 +(y+2)2=36

The equation can be written in the form (x-p)2 +(y-q)2=r2

so it represents a circle with the radius r=6  and the center (-1,-2)

Step-by-step explanation:

Answer:

6 units is the amswer

Step-by-step explanation:

here you gooo

Please I need emergency help.......

Answers

Answer:

C)

Step-by-step explanation:

Suppose a 24-acre plot of land is being
divided into 1/3 -acre lots for a housing
development. How many lots will there
be in the development?

Answers

should be 72! 24 divided by 1/3=72

I need answer immediately!!!!!!

Answers

Answer:

y = -2/3x - 5

Step-by-step explanation:

The following tables show some values from three different functions. which of these functions could be quadratic?

Answers

Answer:

C. III only

Step-by-step explanation:

a quadratic function means that as the maximum power in its arguments it is squaring 1 or more items.

so, let's look at the tables.

table I shows the powers of 2. y = 2^x

2^0 = 1

2^1 = 2

2^2 = 4

2^3 = 8

so, it is not saying anything in general.

table II shows an "identity" equation. y = x

0 = 0

1 = 1

2 = 2

3 = 3

this does not square anything.

table III shows then finally a square equation. y = x^2

0^2 = 0

1^2 = 1

2^2 ≈ 4

3^2 = 9

hurray !

the product of gordan’s age and 4 is 52


Helpppppppppopppppopjompmpnkbkbkbkhhhhhhhhhhhhhhhhhhhhhhhhhhhhghhhghhhhhhhh

Answers

It’s 14
4 times 14: 52

What is the solution to the equation 3 + = 4? y = y = y = 1 y = 4

Answers

Answer:

y = 1

Step-by-step explanation:

3 + y = 4

y = 1

Answer:

Step-by-step explanation:

I think its y=1 but I'm not sure

Hope this helps

Have a good day

Pls tell me if I'm wrong

Shirts are $12 each and Mary has no more than $48 to spend.How many shirts can she purchase

Answers

Answer:

4 shirts

Step-by-step explanation:

$48/$12= 4 shirts

Hope this helped! :)

can someone please help me with this it's due at 11:59​

Answers

Answer:

Step-by-step explanation:

perimeter = 74+74+93+93 = 334 ft

area = (74× 93) = 6882 ft²

b . area

c. perimeter

Answer:

Step-by-step explanation:

ANSWER PLZANSWER PLZANSWER PLZANSWER PLZANSWER PLZANSWER PLZANSWER PLZANSWER PLZANSWER PLZANSWER PLZ

Answers

Answer:

(0,0), (10,6) (15,9)

Step-by-step explanation:

Answer:

Origin(0,0)

First point(2.5,1.5)

2nd point (5,3)

3rd point(10,6)

Step-by-step explanation:

A millennium is a period of 1,000 years.
So, 4,000 years is 4 millennia.
How many millennia are there in 5,000 years?

Answers

Answer:

5 millennia

Step-by-step explanation:

The simplest way to get the answer is that a millennium is 1,000 years and since you mentioned there are 4 millennia in 4,000 years, you would need to divide 5,000 by 1,000.  Your answer should be 5 millennia.

the answer would be 5 millennia

Sandra prepared 15 kilograms of dough after working 3 hours. How many hours did Sandra
work if she prepared 20 kilograms of dough? Solve using unit rates.
hours

Answers

Answer:

4 hours  

Step-by-step explanation:

4 hours because if 15 is 3 hours. count by 5. 5 kilograms of dough would be 1 hour, 10 kilograms of dough would be 2 hours leaving 15 at 3 hours and 20 kilograms at 4 hours.

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