What is the general solution for csc(x)cot(x)=0 ?

The general solution for csc(x)cot(x)=0 is x= pi/2+pin

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csc(x)cot(x)=0

csc (x) cot (x) = 0

x = \frac{π}{2} + πn

Solution steps

csc (x) cot (x) = 0

Solving each part separately

csc (x) = 0 or cot (x) = 0

csc (x) = 0 :

No Solution

cot (x) = 0 : x = \frac{π}{2} + πn

Combine all the solutions

x = \frac{π}{2} + πn

\frac{1}{csc ^{2} ( a )} = 1 - sin^{2} (a)

5 cos (3 x) = - 3

2 sin^{3} (x) + sin^{2} (x) = 0

2 sin^{2} (θ) = sin (θ), 0 \leq θ \leq 2 π

cos (2 x) = cos (4 x)

What is the general solution for csc(x)cot(x)=0 ?
The general solution for csc(x)cot(x)=0 is x= pi/2+pin