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

Respuesta :

absor201

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° ....

SociometricStar

Answer:

A. 30°

Step-by-step explanation:

We have been given the equation

[tex]4\sin^2x-1=0[/tex]

Add 1 to both sides

[tex]4\sin^2x=1[/tex]

Divide both sides by 4

[tex]\sin^2x=\frac{1}{4}[/tex]

Take square root both sides

[tex]\sqrt{\sin^2x}=\sqrt{\frac{1}{4}}\\\\\sin x=\pm\frac{1}{2}\\\\x=30^{\circ}[/tex]

Thus, A is the correct option.

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