Question

Solve 5 tan x = 5√(3) for 0° ≤ x ≤ 180°.

a. 60°
b. 150°
c. 30°
d. 120°

Answer 1

`\boxed{a.\:\:\:60\degree}`

Explanation:

The given trigonometric equation is

`5\tan(x)=5√(3)` for
`0\degree \le x\le 180\degree`.

We divide through by 5 to get;

`\tan(x)=√(3)`

We take the inverse tangent of both sides to obtain;

`x=tan^(-1)(√(3))`

`x=60\degree`

Since the tangent ratio is positive, it means
`x` could also be in the 3rd quadrant. But this is outside the given range.

Therefore the correct answer is A