Question

Select the correct answer. Which of the following is a solution to 4sin2x − 1 = 0? A. 30° B. 60° C. 90° D. 120°

Answer 1

Answer:

The correct option is A.

Step-by-step explanation:

The correct form is:

4sin^2 x − 1 = 0

First step is add 1 to both sides:

4sin^2 x-1+1=0+1

4sin^2 x=1

Now to eliminate 4 divide both sides by 4

4sin^2 x/4=1/4

sin^2 x=1/4

Take square root at both sides

√sin^2 x = √1/4

sinx = 1/2

Thus the correct option is 30° ....

Answer 2

Answer:

A. 30°

Step-by-step explanation:

We have been given the equation

$4\sin^2x-1=0$

Add 1 to both sides

$4\sin^2x=1$

Divide both sides by 4

$\sin^2x=\frac{1}{4}$

Take square root both sides

$\sqrt{\sin^2x}=\sqrt{\frac{1}{4}}\\\\\sin x=\pm\frac{1}{2}\\\\x=30^{\circ}$

Thus, A is the correct option.