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?

Question

simplymarie_x · Answer

attachment

baru · Answer

do you know the pythagoras theorem?

simplymarie_x · Answer

I do.

baru · Answer

can you find the length of the missing side using the theorem?

michaeldowell_132boomboomboomb · Answer

Over 2000 years ago there was an amazing discovery about triangles:

When a triangle has a right angle (90°) ...

... and squares are made on each of the	three sides, ...

mathmale · Answer

Please go ahead and apply the Pythagorean Theorem to find the length of the hypotenuse.  The problem doesn't say so, but you'll need that length to answer this question.

simplymarie_x · Answer

Okay, I got 17

baru · Answer

yep!!

mathmale · Answer

Great!
Next question for you:  How does one define the sine functionj?

type it out here, please.

baru · Answer

now do you know the definition of "sin( ) ?

simplymarie_x · Answer

It's opposite/hypotenuse, right?

baru · Answer

yes
so can you recognize which side is the hypotenuse, and which side is opposite to the angle  'x' ?

simplymarie_x · Answer

So sin x = 8/17?

baru · Answer

correct!!

now do you know the definition of cos ( ) ?

simplymarie_x · Answer

Yes. 

cos = adjacent/hypotenuse

baru · Answer

yep

so cos y =?

simplymarie_x · Answer

Cos y = 8/17?

baru · Answer

yes

so you got
sin x= 8/17
cos y= 8/17

what can  you conclude about sin x and cos y ?

simplymarie_x · Answer

They're both equal to each other. sin x = cos y

baru · Answer

there you go. that's the answer to 'what relationship do they share'.

simplymarie_x · Answer

Thanks so so so much, I appreciate it!! (-:

baru · Answer

you're welcome :D