Question

I need help please. Find 4 solutions of the equation (sin x)^2 = 1/4 for x between 0 and 360. Please show how you found it if not u will be reported.

Answer 1

x = 30, 150, 210, 330 degrees.

Explanation:

(sin x)^2 = 1/4

sin x = +/- √1/4

sin x = +/- /2

In the first quadrant x = angle whose sine is 1/2 = 30 degrees.

There is also a solution in the other 3 quadrants.

In second quadrant where sine = 1/2 , x = 180-30 = 150 degrees,

In 3rd and 4th where sine x = -1/2 the angles are 210 and 330 degrees.

Answer 2

Explanation:

• (sinx)²=1/4
• sinx=√1/4
• sinx =1/2
• sinx=sin30°
• x=30°

hope it helps.