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

The general solution for csc(x/2)-1=0 is x=pi+4pin

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csc(x/2)-1=0

csc (\frac{x}{2}) - 1 = 0

x = π + 4 πn

Solution steps

csc (\frac{x}{2}) - 1 = 0

Move

1

to the right side

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

General solutions for

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

\frac{x}{2} = \frac{π}{2} + 2 πn

Solve

\frac{x}{2} = \frac{π}{2} + 2 πn : x = π + 4 πn

x = π + 4 πn

4 cos (x) + 4 sin (x) = 26

7 tan^{2} (θ) - 4 tan (θ) = 0, - 9 0^{\circ} \leq θ \leq 9 0^{\circ}

3 - 4 sin^{2} (x) = 2 cos^{2} (x)

2 tan^{2} (α) = 2 tan (α)

cos^{2} (x) - sin^{2} (x) = - \frac{3}{4}

What is the general solution for csc(x/2)-1=0 ?
The general solution for csc(x/2)-1=0 is x=pi+4pin