What is the general solution for sin^2(a)=2sin(a) ?

The general solution for sin^2(a)=2sin(a) is a=2pin,a=pi+2pin

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sin^2(a)=2sin(a)

sin^{2} (a) = 2 sin (a)

a = 2 πn, a = π + 2 πn

Solution steps

sin^{2} (a) = 2 sin (a)

Solve by substitution

sin (a) = 2, sin (a) = 0

sin (a) = 2 :

No Solution

sin (a) = 0 : a = 2 πn, a = π + 2 πn

Combine all the solutions

a = 2 πn, a = π + 2 πn

sin (3 x - 50) cos (x) - cos (3 x - 50) sin (x) = 0, 0^{\circ} \leq x \leq 18 0^{\circ}

10 cos^{2} (x) = 9

2 sin (x) tan (x) + tan (x) = 0

0.5 cos (x) = 0

\frac{sin ( x )}{5} = \frac{sin ( 12 5 ^{\circ} )}{20}

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