Question

Solve the equation for principal values of x. Express solutions in degrees.

2 sinx - 1 = 0

a. 90

C. 315

b. 45

d. 270

Answer 1

Assuming you meant sqrt(2):

B. 45°

Answer 2

Nome of the above options are correct

x = 30° or 150°

Explanation:

2 sinx - 1 = 0

2sinx = 1

sin x = (1/2)

x = sin⁻¹ (0.5) = 30°

But sin x is positive in the first and the second quadrant,

x = 30° or 150°

Hope this Helps!!!