Question

Find two solutions of each equation. Give your answers in degrees

(0° ≤ < 360°)
and in radians
(0 ≤ < 2).
Do not use a calculator. (Do not enter your answers with degree symbols. Enter your answers as comma-separated lists.)
(a)
sin() = 1/2

degrees
radians

(b)
sin() = − 1/2

degrees
radians

Answer 1

(a) sin() = 1/2

degrees: 30, 150

radians: π/6, 5π/6

(b) sin() = − 1/2

degrees: 210, 330

radians: 7π/6, 11π/6

Note that these solutions are in the interval of 0 to 360 degrees or 0 to 2 radians. Also note that these are the primary solutions, there are infinitely many solutions that can be obtained by adding multiples of 360 degrees or 2π radians to these values.