Given that cosTheta =-0.2563 determine all possible values of Theta ,0^circ leqslant Theta leqslant 360^circ

Question

Answer 1

## Step 1: Find the reference angle### We are given

. Since the cosine is negative,

must be in the second or third quadrant. First, we find the reference angle

such that

. Using a calculator, we find

.## Step 2: Calculate the angles in the second and third quadrants### For the second quadrant,

.### For the third quadrant,

.

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