Question

How do you solve 6sin2x+5=8 for 0≤x≤π?

Answer 1

6sin2x+5=8

6sin2x=8-5

6sin2x=3

sin2x=3/6

sin2x=1/2

sin2x=sin30°(sin30°=1/2)

we remove the sin on both sides

2x=30°

x=30°/2

x=15°