What is the general solution for 2sin(x)+1/(sin(x))=0 ?

The general solution for 2sin(x)+1/(sin(x))=0 is No Solution for x\in\mathbb{R}

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2sin(x)+1/(sin(x))=0

2 sin (x) + \frac{1}{sin ( x )} = 0

No Solution for x \in R

Solution steps

2 sin (x) + \frac{1}{sin ( x )} = 0

Solve by substitution

sin (x) = i \frac{1}{2}, sin (x) = - i \frac{1}{2}

sin (x) = i \frac{1}{2} :

No Solution

sin (x) = - i \frac{1}{2} :

No Solution

Combine all the solutions

No Solution for x \in R

2 cos^{2} (θ) = 2 + sin (θ)

cos (x) - cos^{3} (x) = 0

cos (x) = - cos (x)

3 sin (x) sec (x) = 2 sin (x), 0 \leq x \leq 2 π

2 cos (x) = 3, 0 \leq x \leq 2 π

What is the general solution for 2sin(x)+1/(sin(x))=0 ?
The general solution for 2sin(x)+1/(sin(x))=0 is No Solution for x\in\mathbb{R}