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?

- anonymous

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@nono266 @AnimalLover8 @mathmate @Frostbite @TheGaMer007

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@dan815

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## More answers

- anonymous

sin x° =
cos y° =
Please Help, and what relationship they have?

- anonymous

first use the Pythagorean theorem to find the hypotenuse of that triangle

- anonymous

Im not sure how to do that?

- anonymous

I forgot how to do that @nono266

- anonymous

Can you please help me do this @nono266

- anonymous

do you see the red little thing on the triangle?

- anonymous

Yes

- anonymous

The box?

- anonymous

@nono266

- anonymous

no the hypotenuse. the dotted line. okay so the Pythagorean theorem is pretty simple.
a2 + b2 = c2
therefore;
15^2 + 8^2 = c^2
225 + 64 = 289
the sq root of 289 = 17
so c (the red dotted line aka hypotenuse) = 17

- anonymous

So what does sin x° = and cos y° = and how are they related Im not understanding

- anonymous

The definition of sin x is side opposite angle x/hypotenuse

- anonymous

So this means what exactly

- anonymous

What is the measure of the side that is opposite the angle whose measure is x degrees?

- anonymous

I dont know @nono266 I just really need to know what sin x° = and cos y° = and what their relationship is I dont understand this stuff at all

- anonymous

https://www.khanacademy.org/math/geometry/right_triangles_topic/cc-geometry-trig-similarity/v/showing-relationship-between-cosine-and-sine-of-complements

- anonymous

I just need the answer :(

- anonymous

@nono266

- anonymous

The relationship between sin x and cos y is that they are equal.

- anonymous

and what do they equal

- anonymous

I cant give out the answers as much so heres an exact problem on how to solve it
sin = opposite/hypotenuse (SOH)
cos = adjacent/hypotenuse (CAH)
For x, the opposite side is 6 and the hypotenuse is 10:
So sin x° is 6/10 = 3/5
For y, the adjacent side is also 6 and the hypotenuse is still 10:
So cos y° is also 6/10 = 3/5
Answer:
sin x° and cos y° = 3/5

- anonymous

Thank you :)

- anonymous

If you have questions regarding the process, feel free to ask. If not I hope you ace this! Good luck!

- anonymous

@nono266 how do I find the hypotenuse cx

- anonymous

and would opposite be 8?

- anonymous

the hypotenuse is 17
opposite for x; 8
opposite for y ; 15

- anonymous

Thank you so much :D

- anonymous

You better ace this

- anonymous

Lol I'll try my best

- anonymous

This is the first concept I actually am learning in Geometry, Idk how I've even been passing the year XD

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|dw:1438707923360:dw|

- anonymous

YES XD THANK YOU LMAO SO DAMN TRUE

- anonymous

Wait Whats the Adjacent for Y?

- anonymous

adjacent means next to

- anonymous

I got 0.471 to the nearest thousandth for 8/17

- anonymous

but I got 0.882 to the nearest thousandth for 15/17

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