Question

How do you solve `(cot(x) + 1)(csc(x) - (1/2) = 0` from [0,2pi]?

Answer 1

Solve: `(cot x + 1)(cscx - 1/2) = 0` `[0, 2pi]`

Ans: `(3pi)/4 and (7pi)/4`

Explanation:

Make the 2 factors equal to zero.

(cot x + 1 = 0 --> cot x = -1 --> `x = (3pi)/4` and`(7pi/4)`
`1/sin x - 1/2 = 0` --> sin x = 2. Rejected because > 1