Question

What relationships do the ratios of sin x and cos y share

Answer 1

check the picture below.

Answer 2

sin x and cos y = 4:5

Explanation:

In given right angle triangle.

Relation between sin x and cos y

Using trigonometry formula:

`\sin \theta =\frac{\text{Opposite}}{\text{Hypotenuse}}`

`\cos \theta =\frac{\text{Adjacent}}{\text{Hypotenuse}}`

For sin x , Opposite = 16 and Hypotenuse = 20

`\sin x^\circ=(16)/(20)`

For cos y , Base = 16 and Hypotenuse = 20

`\cos y^\circ=(16)/(20)`

`\sin x^\circ=\cos y^\circ=(16)/(20)`

Ratio of sin x and cos y = 4:5

Hence, The sin x and cos y are equal.