What is the general solution for (cos(θ)-1)sin(θ)=0 ?

The general solution for (cos(θ)-1)sin(θ)=0 is θ=2pin,θ=pi+2pin

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(cos(θ)-1)sin(θ)=0

(cos (θ) - 1) sin (θ) = 0

θ = 2 πn, θ = π + 2 πn

Solution steps

(cos (θ) - 1) sin (θ) = 0

Solving each part separately

cos (θ) - 1 = 0 or sin (θ) = 0

cos (θ) - 1 = 0 : θ = 2 πn

sin (θ) = 0 : θ = 2 πn, θ = π + 2 πn

Combine all the solutions

θ = 2 πn, θ = π + 2 πn

sin (a) = 0

6 cot (θ) - 5 = 0

8 cos (x) - 8 sin (x) = 0

sin (4 x) cos (x) - sin (x) cos (4 x) = \frac{1}{2}

arccos (x) = \frac{1}{2}

What is the general solution for (cos(θ)-1)sin(θ)=0 ?
The general solution for (cos(θ)-1)sin(θ)=0 is θ=2pin,θ=pi+2pin