What is the general solution for 2csc^2(x)+csc(x)-1=0 ?

The general solution for 2csc^2(x)+csc(x)-1=0 is x=(3pi)/2+2pin

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2csc^2(x)+csc(x)-1=0

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

x = \frac{3 π}{2} + 2 πn

Solution steps

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

Solve by substitution

csc (x) = \frac{1}{2}, csc (x) = - 1

csc (x) = \frac{1}{2} :

No Solution

csc (x) = - 1 : x = \frac{3 π}{2} + 2 πn

Combine all the solutions

x = \frac{3 π}{2} + 2 πn

3 cos (θ) + sin (2 θ) = 0

sec (x) (sec (x) - 1) = 2

tan (x) = 0.15

cos (x) - sin (x) = 0, y (0) = 3

cos (x) + 3 sin (x) = 3

What is the general solution for 2csc^2(x)+csc(x)-1=0 ?
The general solution for 2csc^2(x)+csc(x)-1=0 is x=(3pi)/2+2pin