Question

If cos x = cos 40° sin 50° + sin 40° cos 50°, then find the value of x.

Answer 1

x = 0

Explanation:

Given Cos x = Cos 40° * Sin 50° + Sin 40° * Cos 50°

= Cos (90° - 50°) * Sin 50° + Sin (90° - 50°) * Cos50°

= Sin 50° * Sin 50° + Cos 50° * Cos 50°

= Sin^2 50° + Cos^2 50°

= 1

We have solved that Cos X = 1

Cos 0° is 1. So X = 0°

x = 0