Question

Fill in the blank to complete this trig

ratio.
y
sin a =
[?]
a
Х
N
A
00
С
Х
У
N

Answer 1

Z/X

Explanation:

cause sin is p/h and p=Z and h=X

Answer 2

`\displaystyle \large \tt{ \sin a = (opposite)/(hypotenuse) }`

First, we have to focus on ∠a, at the angle a or ∠a, the opposite is z because ∠a is the opposite side of z.

The hypotenuse side is always x, even if we change from ∠a to ∠b (b = 90°-a)

So what we have now are:

• opposite = z (Refer to the bold text)
• hypotenuse = x (hypotenuse is always the side that is opposed to a right angle.)

Substitute the letter in the ratio:

`\displaystyle \large \boxed{ \sin a = (z)/(x) }`