What is the general solution for csc(θ)sin(θ)=cot(θ) ?

The general solution for csc(θ)sin(θ)=cot(θ) is θ= pi/4+pin

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csc(θ)sin(θ)=cot(θ)

csc (θ) sin (θ) = cot (θ)

θ = \frac{π}{4} + πn

Solution steps

csc (θ) sin (θ) = cot (θ)

Rewrite using trig identities

1 = cot (θ)

Switch sides

cot (θ) = 1

General solutions for

cot (θ) = 1

θ = \frac{π}{4} + πn

7 sin (θ) + cos (θ) = 5

tan (θ + π) + 2 sin (θ + π) = 0

sin (θ) = \frac{2}{3}, \frac{π}{2} < θ < π, cos (2 θ) = x

tan (3 x) = 2

tan (θ) = 3 - π

What is the general solution for csc(θ)sin(θ)=cot(θ) ?
The general solution for csc(θ)sin(θ)=cot(θ) is θ= pi/4+pin