What is the general solution for cos((pit)/2) pi/2 =0 ?

The general solution for cos((pit)/2) pi/2 =0 is t=1+4n,t=3+4n

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cos((pit)/2) pi/2 =0

cos (\frac{π t}{2}) \frac{π}{2} = 0

t = 1 + 4 n, t = 3 + 4 n

Solution steps

cos (\frac{π t}{2}) \frac{π}{2} = 0

Multiply both sides by

2

π cos (\frac{π t}{2}) = 0

Divide both sides by

π

cos (\frac{π t}{2}) = 0

General solutions for

cos (\frac{π t}{2}) = 0

\frac{π t}{2} = \frac{π}{2} + 2 πn, \frac{π t}{2} = \frac{3 π}{2} + 2 πn

Solve

\frac{π t}{2} = \frac{π}{2} + 2 πn : t = 1 + 4 n

Solve

\frac{π t}{2} = \frac{3 π}{2} + 2 πn : t = 3 + 4 n

t = 1 + 4 n, t = 3 + 4 n

sin (x) + 2 cos (x) = 0

sec^{2} (x) + csc^{2} (x) = 1

sin (x) = 0.653

- 50 cos (x) - 86.6025400000000 \dots sin (x) = - 50

sin (\frac{1}{2} x) + 1 = 0

What is the general solution for cos((pit)/2) pi/2 =0 ?
The general solution for cos((pit)/2) pi/2 =0 is t=1+4n,t=3+4n