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

The general solution for -2cot(x)+csc^2(x)=0 is x= pi/4+pin

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-2cot(x)+csc^2(x)=0

- 2 cot (x) + csc^{2} (x) = 0

x = \frac{π}{4} + πn

Solution steps

- 2 cot (x) + csc^{2} (x) = 0

Rewrite using trig identities

1 + cot^{2} (x) - 2 cot (x) = 0

Solve by substitution

cot (x) = 1

cot (x) = 1 : x = \frac{π}{4} + πn

Combine all the solutions

x = \frac{π}{4} + πn

sin (3 x + \frac{π}{4}) = \frac{3}{2}

\frac{cos ( x ) - sin ( x )}{cos ( x )} = tan (x) - 1

cos (φ) = \frac{1}{4}

- 2 cos (x) = sin (x)

sin (x) = - 0.9781

What is the general solution for -2cot(x)+csc^2(x)=0 ?
The general solution for -2cot(x)+csc^2(x)=0 is x= pi/4+pin