What is the general solution for (sin^3(x))/(2+2(sin(x))^2)=1 ?

The general solution for (sin^3(x))/(2+2(sin(x))^2)=1 is No Solution for x\in\mathbb{R}

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(sin^3(x))/(2+2(sin(x))^2)=1

\frac{sin ^{3} ( x )}{2 + 2 ( sin ( x ) ) ^{2}} = 1

No Solution for x \in R

Solution steps

\frac{sin ^{3} ( x )}{2 + 2 ( sin ( x ) ) ^{2}} = 1

Solve by substitution

sin (x) \approx 2.35930 \dots

sin (x) = 2.35930 \dots :

No Solution

Combine all the solutions

No Solution for x \in R

x, cot^{2} (x) = \frac{1}{3}

2 + cos^{2} (x) = - 5 sin (x)

tan^{5} (x) tan^{2} (x) = 1

\frac{sin ^{2} ( a ) + 1}{( 1 + tan ^{2} ( a ) )} = 1

tan (a) = \frac{5}{9}, b = 6

What is the general solution for (sin^3(x))/(2+2(sin(x))^2)=1 ?
The general solution for (sin^3(x))/(2+2(sin(x))^2)=1 is No Solution for x\in\mathbb{R}