What is the general solution for csc^2(θ)-2cot(θ)=0 ?

The general solution for csc^2(θ)-2cot(θ)=0 is θ= pi/4+pin

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csc^2(θ)-2cot(θ)=0

csc^{2} (θ) - 2 cot (θ) = 0

θ = \frac{π}{4} + πn

Solution steps

csc^{2} (θ) - 2 cot (θ) = 0

Rewrite using trig identities

1 + cot^{2} (θ) - 2 cot (θ) = 0

Solve by substitution

cot (θ) = 1

cot (θ) = 1 : θ = \frac{π}{4} + πn

Combine all the solutions

θ = \frac{π}{4} + πn

cos (θ) = 0.3, 0 \leq θ \leq 2 π

cos (3 x) = - \frac{2}{2}

2 cos (x) + 1 = 2

sin (θ) = \frac{5}{9}

1 + sin (x) = 2 sin^{2} (x)

What is the general solution for csc^2(θ)-2cot(θ)=0 ?
The general solution for csc^2(θ)-2cot(θ)=0 is θ= pi/4+pin