Question

Which equation shows a correct relationship of trigonometric functions?

Answer 1

`(sin(x))/(cos(y)) = 1`

Try it on a calculator.

x + y = 90

if x = 30 and y = 60

`(sin(30))/(cos(60))</strong>= 1<strong>`

Answer 2

`(\sin(x))/(\cos(y))=1`

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;

`(\sin(x))/(\cos(y))=(\cos(y))/(\cos(y))`

We simplify to get;

`(\sin(x))/(\cos(y))=1`