What is the general solution for sin(x)tan(x)-sin(x)=0 ?

The general solution for sin(x)tan(x)-sin(x)=0 is x=2pin,x=pi+2pin,x= pi/4+pin

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sin(x)tan(x)-sin(x)=0

sin (x) tan (x) - sin (x) = 0

x = 2 πn, x = π + 2 πn, x = \frac{π}{4} + πn

Solution steps

sin (x) tan (x) - sin (x) = 0

Factor

sin (x) tan (x) - sin (x) : sin (x) (tan (x) - 1)

sin (x) (tan (x) - 1) = 0

Solving each part separately

sin (x) = 0 or tan (x) - 1 = 0

sin (x) = 0 : x = 2 πn, x = π + 2 πn

tan (x) - 1 = 0 : x = \frac{π}{4} + πn

Combine all the solutions

x = 2 πn, x = π + 2 πn, x = \frac{π}{4} + πn

sinh (x) = \frac{15}{8}

(2 cos (x) - 1) (2 sin (x) - 3) = 0

sin (α) + cos (α) = \frac{1}{2}

2 sin^{2} (θ) - cos (2 θ) = 1

cos (x - \frac{π}{3}) = - 1

What is the general solution for sin(x)tan(x)-sin(x)=0 ?
The general solution for sin(x)tan(x)-sin(x)=0 is x=2pin,x=pi+2pin,x= pi/4+pin