Question

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

Answer 1

Answer:

sin x and cos y = 4:5

Step-by-step explanation:

In given right angle triangle.

Relation between sin x and cos y

Using trigonometry formula:

$\sin \theta =\dfrac{\text{Opposite}}{\text{Hypotenuse}}$

$\cos \theta =\dfrac{\text{Adjacent}}{\text{Hypotenuse}}$

For sin x , Opposite = 16 and Hypotenuse = 20

$\sin x^\circ=\dfrac{16}{20}$

For cos y , Base = 16 and Hypotenuse = 20

$\cos y^\circ=\dfrac{16}{20}$

$\sin x^\circ=\cos y^\circ=\dfrac{16}{20}$

Ratio of sin x and cos y = 4:5

Hence, The sin x and cos y are equal.

Answer 2

Check the picture below.