What is the ratio for sinY?

Question

Triangle △XYZ, in which ∠X is a right angle and tan Y=8/15

What is the ratio for sin in Y in simplest form?

Answer 1

If tan Y=8/15

Opposite = 8

Adjacent = 15

For sin Y, the hypotenuse is needed. This can be solved for using the Pythagorean Theorem.

a²+b²=c²

c=√(a²+b²)

c=√(15²+8²)

c=√(289²) = 17

Hypotenuse = 17

sin Y= opposite/hypotenuse = 8/17

Answer 2

x=90°=γ

y=90-β

z=90-α

sinα=a/c (sides)

a opposite α

b " β

c " γ

Answer 3

Check out my video answer!