How do you find two solution to sin(x) = 1/2sin(x)=12?

2 Answers
Jun 27, 2018

pi/6, and (5pi)/6

Explanation:

sin x = 1/2sinx=12
Trig table and the unit circle give 2 arcs x that have the same sin value (1/2) -->
x = pi/6x=π6, and x = pi - pi/6 = (5pi)/6x=ππ6=5π6

Jun 27, 2018

Use the symmetry of the graph and your knowledge of some sin values

Explanation:

sin 30=1/2sin30=12 [should know this]

The first part of the sin graph is symmetrical about 90^@90

180-30=150

sin 150=1/2sin150=12