Question

Solve for < x < 180degrees

Answer 1

Option C: 90° is the value of x.

Explanation:

The given expression is $4+2 \sin x=14-8 \sin x$ for $0^{\circ} \leq x \leq 180^{\circ}$

We need to solve the expression.

Thus, we have,

$4+2 \sin x=14-8 \sin x$

Subtracting both sides by 4, we have,

$2 \sin x=10-8 \sin x$

Adding both sides by 8 sin x, we get,

$10 \sin x=10$

Dividing both sides by 10, we have,

$sin \ x=1$

Taking $sin^{-1}$ on both sides of the equation, we get,

$x=sin^{-1}(1)$

$x=90^{\circ}$

Thus, the value of x is 90°

Hence, Option C is the correct answer.