What is the general solution for 2cot(x)+tan(x)=-2 ?

The general solution for 2cot(x)+tan(x)=-2 is No Solution for x\in\mathbb{R}

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2cot(x)+tan(x)=-2

2 cot (x) + tan (x) = - 2

No Solution for x \in R

Solution steps

2 cot (x) + tan (x) = - 2

Subtract

- 2

from both sides

2 cot (x) + tan (x) + 2 = 0

Rewrite using trig identities

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

Solve by substitution

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

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

No Solution

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

No Solution

Combine all the solutions

No Solution for x \in R

sin (x) - 3 = 0

2 tan (4 x) = 1

cos (θ) = \frac{5713634.83}{( 2236 ) ( 3733 )}

sin (x) = \frac{3}{58}

cos (2 x + 1) = 0

What is the general solution for 2cot(x)+tan(x)=-2 ?
The general solution for 2cot(x)+tan(x)=-2 is No Solution for x\in\mathbb{R}