1. Nov 30, 2016

### Veronica_Oles

1. The problem statement, all variables and given/known data
Solve cotxcsc2x=2cotx

2. Relevant equations

3. The attempt at a solution
cotx(csc2-2)

cotx = 0
x = no solution

x = sin-1(1/√2)

or

x = sin-1(-1/√2)

I come up with the solutions x = { π/4, 3π/4, 5π/4, 7π/4}

However the solutions are telling me that x can also be equal to π/2 and 3π/2 although I have no idea how this could be?

2. Nov 30, 2016

### eys_physics

This is wrong. What is the value of $\cot(\pi/2)$?

3. Nov 30, 2016

### Ray Vickson

Your understanding of the function $\cot x$ is faulty; plot the graph $y = \cot x$ for $0 \leq x \leq 2 \pi$ to see what happens at various values of $x$.