Question

If sin Ѳ = cos 40, find the value Ѳ

Answer 1

Ѳ = 50

Explanation:

Sin Ѳ = cos 40

`Ѳ = \sin ^( - 1) ( \cos(40) )`

Simplify

`Ѳ = sin^( - 1) (0.7660444431) \\Ѳ = 50`

Answer 2

Θ = 50°

Explanation:

Using the cofunction identity

cosx = sin(90 - x)

Given

cos40° = sin(90 - 40)° = sin50° ⇒ Θ = 50°