Solve 2 - 3 cos x = 5 + 3 cos x for 0° ≤ x ≤ 180° a. 150° b. 30° c. 60° d. 120°

The correct answer is Option d : 120°

Step-by-step explanation:

First we bring all the cos x terms to one side

2 = 5 + 6 cos x

Now we bring all the numerals to one side

-3 = 6 cos x

- = cos x

∵ cos 60° = ∴ cos x = cos 60°

x = 60°

Now just flip over for the negative to get 180-60 = 120

∴ The answer is 120°.

the value of x is 28.2