What is the general solution for csc(t)= 1/(-(sqrt(2))/2) ?

The general solution for csc(t)= 1/(-(sqrt(2))/2) is t=(5pi)/4+2pin,t=(7pi)/4+2pin

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csc(t)= 1/(-(sqrt(2))/2)

csc (t) = \frac{1}{- \frac{2}{2}}

t = \frac{5 π}{4} + 2 πn, t = \frac{7 π}{4} + 2 πn

Solution steps

csc (t) = \frac{1}{- \frac{2}{2}}

Simplify

\frac{1}{- \frac{2}{2}} : - 2

General solutions for

csc (t) = - 2

t = \frac{5 π}{4} + 2 πn, t = \frac{7 π}{4} + 2 πn

cos^{2} (x) = 1 - sin (x), 0 \leq x < 2 π

cos (2 x) - 3 sin (x) = 2, 0^{\circ} \leq x \leq 36 0^{\circ}

2 cos^{2} (x) + 3 cos (x) = 4 cos (x) + 1

6 sin^{2} (x) + 5 sin (x) = 0

sin (x) = - \frac{1}{2}, (0, 2 π)

What is the general solution for csc(t)= 1/(-(sqrt(2))/2) ?
The general solution for csc(t)= 1/(-(sqrt(2))/2) is t=(5pi)/4+2pin,t=(7pi)/4+2pin