Question

Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of sin x° and cos y° share?

Answer 1

First find the length of the hypotenuse. You can use Pythagorean theorem.

Answer 2

25?

Answer 3

a2 + b2 = c2
4 (little 2)+3(little 2)=c(little 2)
16+9=25

Answer 4

@anthonyym

Answer 5

3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
c = 5

Answer 6

Okay then what?

Answer 7

Find sinx and cosy.

Answer 8

I'll do sinx for you and you do cosy.
sinx = opposite/hypotenuse = 3/5

Answer 9

I got 0.01047178411

Answer 10

and for cos I got 0.999902524

Answer 11

How did you get sinx = 0.01047178411?

Answer 12

I punched it in the google cal

Answer 13

What did you type in

Answer 14

sin(3 ÷ 5)

Answer 15

the cal is set on degree btw

Answer 16

Oh, but the question asks to find the value of sinx, not sin(3/5).
Do you that sine = opposite/hypotenuse?

Answer 17

Yes

Answer 18

The opposite side to angle x is 3, and the hyoptenuse is 5.

Answer 19

I get that but when i punch it in the calculator I get 0.01047178411

Answer 20

sinx = opposite/hypotenuse.
opposite = 3
hypotenuse = 5

Therefore sinx = 3/5.
3/5 is the answer because the question asks for sinx

Answer 21

so I don't solve it?

Answer 22

Well, 3/5 is the answer. You're not solving for x, but sinx

Answer 23

Now I bet you can figure out cosy. Remember cosine is adjacent/hypotenuse

Answer 24

okie and cos y is adjacent/hypotenuse. cos y= 4/5

Answer 25

Close. Remember that you're now finding cosine of angle y, not x.

Answer 26

OHHH okay so it's 3/5?

Answer 27

and their relationship of the ratios is complementary?

Answer 28

Yes cosy = 3/5

Answer 29

Is the relationship right?

Answer 30

Yes

Answer 31

Okie thank you very much, I really appreciate you helping me instead of giving me the answers

Answer 32

No problem