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enot [183]
2 years ago
11

Solve for < x < 180degrees

Mathematics
1 answer:
Tamiku [17]2 years ago
4 0

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.

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