What is the general solution for cot^2(x/2)=3,0,0<= x<= 360 ?

The general solution for cot^2(x/2)=3,0,0<= x<= 360 is No Solution for x\in\mathbb{R}

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cot^2(x/2)=3,0,0<= x<= 360

cot^{2} (\frac{x}{2}) = 3, 0, 0 \leq x \leq 360

No Solution for x \in R

Solution steps

cot^{2} (\frac{x}{2}) = 3, 0, 0 \leq x \leq 360

Solve by substitution

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

cot (\frac{x}{2}) = 3, 0 :

No Solution

cot (\frac{x}{2}) = - 3, 0 :

No Solution

Combine all the solutions

No Solution for x \in R

2 sin^{2} (x) + 5 sin (x) - 3 = 0, 0 \leq x \leq 2 π

sin (x) = \frac{123 sin ( 7 0 ^{\circ} )}{184.5}

cot^{2} (θ) = cot (θ), 0 \leq θ \leq 2 π

cos (x) = \frac{9}{19}

cos (α) = \frac{5}{3}

What is the general solution for cot^2(x/2)=3,0,0<= x<= 360 ?
The general solution for cot^2(x/2)=3,0,0<= x<= 360 is No Solution for x\in\mathbb{R}