Question

Which equation shows a correct relationship of trigonometric functions?

Answer 1

Answer:

$\frac{\sin(x)}{\cos(y)}=1$

Step-by-step explanation:

From the given right triangle.

$x+y=90\degree$

This implies that;

$\sin(x)=\cos(y)$

Because the two angles are complementary.

We divide both sides by $\cos(y)$ to obtain;

$\frac{\sin(x)}{\cos(y)}=\frac{\cos(y)}{\cos(y)}$

We simplify to get;

$\frac{\sin(x)}{\cos(y)}=1$

Answer 2

$\frac{sin(x)}{cos(y)} = 1$

Try it on a calculator.

x + y = 90

if x = 30 and y = 60

$\frac{sin(30)}{cos(60)}= 1$