Question

1. Use a calculator to find all solutions in the interval (0, 2_). Round the answers to two decimal places. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
sin x cos x = 0.027

2. Use a calculator to find all solutions in the interval (0, 2_). Round the answers to two decimal places. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
cot x = _2.83

Answer 1

1) we know that  sin2x=2sinxcosx, so sinxcosx=(1/2)sin2x, but sinxcosx=0.027
(1/2)sin2x=0.027, sin2x=0.054, arcsin(0.054)=2x, 3.09=2x, x=1.54 degree (x is in (0, 2), it is verified)