Question

If θ lies in the third quadrant and cos^2θ =1/4
, then find the value(s) of θ.

Answer 1

Answer:

value of theta is 60

Step-by-step explanation:

1) since, cos^2Θ = 1/4

2) Now take square root on both sides:

               ∴ $\sqrt{cos^2theta}$ = $\sqrt{1/4}$

               ∴ cosΘ = $\frac{1}{2}$

SINCE, cos60° = 1/2

                ⇒Θ = 60°

         

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