Question

how do i solve this equation please
cos(t)^2=1/4 ????

Answer 1

So, \(\cos^2(t)=1/4\)?

Answer 2

If you think about it, anything squareed is positive, so the \(\pm\) square root issue comes into play.

\[\cos^2t=\frac{1}{4} \implies \cos t =\pm \sqrt{\frac{1}{4}} \implies \cos t =\pm \frac{1}{2}\]

Answer 3

So where on the unit circle is cosine 1/2 or -1/2?

Answer 4

ANd did they give you a range for the answer or do you need all possible answers? Range means you list a few. All possible means you need to make an equation.

Answer 5

I am off to class, but here is one last big clue:

The points on the unit circle you need.

Answer 6

thank u!