What is the general solution for sin(a)tan(a)=sin(a) ?

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

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sin(a)tan(a)=sin(a)

sin (a) tan (a) = sin (a)

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

Solution steps

sin (a) tan (a) = sin (a)

Subtract

sin (a)

from both sides

sin (a) tan (a) - sin (a) = 0

Factor

sin (a) tan (a) - sin (a) : sin (a) (tan (a) - 1)

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

Solving each part separately

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

sin (a) = 0 : a = 2 πn, a = π + 2 πn

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

Combine all the solutions

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

2 tan (x) + sec^{2} (x) = 0

cos (x) = \frac{1}{9}

sin (θ) + 0.069 = 0

tan (θ) = 1.3

tan (x) = 0.25

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