What is the general solution for csc(θ)+1=0 ?

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

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csc(θ)+1=0

csc (θ) + 1 = 0

θ = \frac{3 π}{2} + 2 πn

Solution steps

csc (θ) + 1 = 0

Move

1

to the right side

csc (θ) = - 1

General solutions for

csc (θ) = - 1

θ = \frac{3 π}{2} + 2 πn

2 sin^{2} (θ) - 3 sin (θ) + 1 = 0, 0 \leq θ \leq 2 π

2 sec (x) + 2 tan (x) = 2

2 sin^{2} (θ) + 3 sin (θ) = 0

cos^{2} (x) = sin^{2} (\frac{x}{2})

sin (x + \frac{π}{4}) = - \frac{2}{2}

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