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

anonymous · Answer

attachment

tkhunny · Answer

Does the length of the hypotenuse help you find a relationship?  See if you can find it WITHOUT calculating the length of the third side.

anonymous · Answer

would i use AC2+CB2=AB2

tkhunny · Answer

You can do it!!

$\sin(x) = \dfrac{What?}{Hypotenuse}$

$\cos(y) = \dfrac{What?}{Hypotenuse}$

anonymous · Answer

i know sin = opp/ hyp , and cos=adj/hyp

tkhunny · Answer

Okay, now answer my question.  Don't forget to notice that the two expressions are NOT using the same angle.

anonymous · Answer

sin= 8/hypotenuse cos=6/hypotenuse .....is that what your asking? Lol sorry im confused

tkhunny · Answer

No, you're using the SAME angle.  Don't do that.

Use the cosine of one of the acute angles, y.
Use the sine of the other of the acute angles, x.

anonymous · Answer

i figured out that the hypotenuse is 10

anonymous · Answer

using the Pythagorean theorem