Respuesta :

Answer:

A. 60*

Step-by-step explanation:

I used the website M A T H W A Y . C O M

and I remember learning this in my school, I worked this problem by hand and am confident that A is the correct answer.

Answer:

60°

A is correct

Step-by-step explanation:

Given: [tex]4\cos^2x-1=0[/tex]

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

Divide by 4

[tex]\cos^2x=\dfrac{1}{4}[/tex]

Taking square root both sides

[tex]\cos x=\pm \dfrac{1}{2}[/tex]

[tex]\cos x=\dfrac{1}{2}[/tex]     or      [tex]\cos x=-\dfrac{1}{2}[/tex]

[tex]x=\cos^{-1}(\dfrac{1}{2})[/tex]    or    [tex]x=\cos^{-1}(-\dfrac{1}{2})[/tex]

[tex]x=60^\circ,300^\circ[/tex]     or      [tex]x=120^\circ,240^\circ[/tex]

Hence, x=60° is correct

Q&A Education