Question

Sin2theta=1/2

how ❓​

Answer 1

sin2©=1/2

sin2©=sin30°

2©=30°

©=30°/2

©=15°

Answer 2

sin 2 theta = 1/2

sin theta = 1/root2 = root2/2 or sin theta = -1/root2 = -root2/2

theta= π/4 + 2kπ or theta = 3 π/4 + 2kπ or

theta= 5 π/4 + 2kπ or theta= 7 π/4 + 2kπ

If you trace these four solutions in the trigonometrical circle you will see that the four can be resumed in just one :- theta = π/4 + kπ/2

I hope you understood it.....