Question

Solve equation if 0 degrees is less than or even to x which is less than or equal to 360 degrees

tan x=3sqrd​

Answer 1

x = 60°

Explanation:

Use special triangles.

Starting with an equilateral triangle (all angles at 60°) with the side length of 2. Drop an altitude from one of the vertices to cut in half and make a right - triangle.

The hypotenuse length is 2. The base length, because it was cut in half, is 1. The height can be found with the Pythagorean theorem, which is √3.

The ratio for tangent is opposite over adjacent.

Since √3 = √3 / 1, the angle must be the one as marked in the picture.

Remember this triangle came from an equilateral triangle, so that angle is 60°. It was not cut in half, unlike the top angle which is 30°.