If 𝑠𝑖𝑛²𝜃 = 3/4 , find all possible values for 𝜃, where −180°

Question

If 𝑠𝑖𝑛²𝜃 = 3/4 , find all possible values for 𝜃, where −180° < 𝜃 < 180°

Patrick B. · Accepted Answer

then sin = +or- sqrt(3)/2  so the base angle is 60... 60,120,-60,-120 pi/3, 2*pi/3, -pi/3, -2*pi/3

If 𝑠𝑖𝑛²𝜃 = 3/4 , find all possible values for 𝜃, where −180° < 𝜃 < 180°