What is the general solution for 2csc^2(θ)-3cot(θ)+3=0 ?

The general solution for 2csc^2(θ)-3cot(θ)+3=0 is No Solution for θ\in\mathbb{R}

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2csc^2(θ)-3cot(θ)+3=0

2 csc^{2} (θ) - 3 cot (θ) + 3 = 0

No Solution for θ \in R

Solution steps

2 csc^{2} (θ) - 3 cot (θ) + 3 = 0

Rewrite using trig identities

5 + 2 cot^{2} (θ) - 3 cot (θ) = 0

Solve by substitution

cot (θ) = \frac{3}{4} + i \frac{31}{4}, cot (θ) = \frac{3}{4} - i \frac{31}{4}

cot (θ) = \frac{3}{4} + i \frac{31}{4} :

No Solution

cot (θ) = \frac{3}{4} - i \frac{31}{4} :

No Solution

Combine all the solutions

No Solution for θ \in R

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

sin (x) = 0.03725

tan (x) = 2.747

y, \frac{sin ( 3 y )}{3} = \frac{cos ( 2 x )}{2} + \frac{1}{2}

(tan (x) - 1) (4 sin^{2} (x) - 3) = 0

What is the general solution for 2csc^2(θ)-3cot(θ)+3=0 ?
The general solution for 2csc^2(θ)-3cot(θ)+3=0 is No Solution for θ\in\mathbb{R}