What is the general solution for sin^2(a)=2sin^2(a)+3 ?

The general solution for sin^2(a)=2sin^2(a)+3 is No Solution for a\in\mathbb{R}

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sin^2(a)=2sin^2(a)+3

sin^{2} (a) = 2 sin^{2} (a) + 3

No Solution for a \in R

Solution steps

sin^{2} (a) = 2 sin^{2} (a) + 3

Solve by substitution

sin (a) = 3 i, sin (a) = - 3 i

sin (a) = 3 i :

No Solution

sin (a) = - 3 i :

No Solution

Combine all the solutions

No Solution for a \in R

cos (x) = \frac{3}{3}, 0 \leq x \leq 2 π

x, y = 2 sec (x)

- sin (2 x) - sin (x) = 0, 0 \leq x < 2 π

2 sin (6 x) sin (3 x) = 1 - cos (9 x)

cos (θ) sin (θ) = 172245

What is the general solution for sin^2(a)=2sin^2(a)+3 ?
The general solution for sin^2(a)=2sin^2(a)+3 is No Solution for a\in\mathbb{R}