If sin(theta)=-.95, find theta when 0(is less than or equal to)theta(is less than or equal to)2pi

Question

If sin(theta)=-.95, find theta when 0(is less than or equal to)theta(is less than or equal to)2pi without solving by graphing.

Answer 1

On your calculator, do sin^-1(0.95), being sure that the calculator is in Radian Mode.

 

That will be an angle θ in the first quadrant, close to pi/2 degrees, but a bit less.

Another angle, in second quadrant, can be computed as pi - θ.