(Q=theta) Find the values of theta in degrees and radians without the aid of a calculator: sinQ=1/2
theta = 30° = pi / 6 rad
and
theta = 150° = ( 5 pi / 6 ) rad
To find the values of theta in degrees and radians without the aid of a calculator, we will use the unit circle and the knowledge of the special angles.
The sine function is positive in the first and second quadrants, and the angle whose sine is 1/2 is known as a special angle. In the unit circle, the special angle whose sine is 1/2 is π/6 radians or 30 degrees.
Therefore, the values of theta are:
In degrees: theta = 30 degrees
In radians: theta = π/6 radians