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

The general solution for sin(t)= 1/(sqrt(2)) is t= pi/4+2pin,t=(3pi)/4+2pin

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sin(t)= 1/(sqrt(2))

sin (t) = \frac{1}{2}

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

Solution steps

sin (t) = \frac{1}{2}

Simplify

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

General solutions for

sin (t) = \frac{2}{2}

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

- 2 sin^{2} (θ) + 5 sin (θ) = 2

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

3 sin (x) - 2 = 0

4 cos^{2} (x) - 2 sin (x) + 1 = 0

tan (x) = \frac{3 3}{5}

What is the general solution for sin(t)= 1/(sqrt(2)) ?
The general solution for sin(t)= 1/(sqrt(2)) is t= pi/4+2pin,t=(3pi)/4+2pin