Question

1/3 = 1/2 Cos^2 (theta), solve for theta

Answer 1

can someone solve this, showing ALL steps, i am very rusty on my trig functions/algebra

Answer 2

I will post a response soon. If my browser lets me

Answer 3

thks!

Answer 4

\[\frac{1}{3} = \frac{\cos^2(\theta)}{2}\]

Answer 5

\[3\cos^2(\theta) = 2\]

Answer 6

\[\cos^2(\theta) = \frac{2}{3}\]

Answer 7

\[\cos(\theta)^2 = \frac{2}{3}\]

Answer 8

\[\cos(\theta) = \pm \sqrt{\frac{2}{3}}\]

Answer 9

\[\theta = \cos^{-1}(\pm \sqrt{\frac{2}{3}})\]

Answer 10

Does that help?

Answer 11

yes! you are amazing!

Answer 12

What values did you get for theta?

Answer 13

Thanks for the testimonial by the way :)