Question

Find the exact solutions to the equation sin(2x)=0.3 when 0≤x≤2π ?

How would you start this problem?

Answer 1

`8^@73; 81^@27`

Explanation:

sin 2x = 0.3
Calculator and unit circle give 2 solutions:
2x = 17^@46, and 2x = 180 - 17.46 = 162^@54
a. 2x = 17.46 --> `x = 8^@73`
b. 2x = 162.54 --> `x = 81^@27`