Solve the equation on the interval 0s0Solution 2sin 1 sin

Solve the equation on the interval 0s0

Solution

       2*sin = -1

        sin = -1/2

         = 210 and 330 degrees = 7pi/6, 11pi/6

        32*cos = -3

        cos = 1/2

           = 45 and 315 degree = pi/4 and 7pi/4

LHS = cos/(1 - tan) + sin/(1 - cot) = cos²/(cos - sin) + sin²/(sin - cos)

= (cos² - sin²)/(cos - sin) = cos + sin = RHS