What is the general solution for sin(x/5)=(sqrt(2))/2 ?

The general solution for sin(x/5)=(sqrt(2))/2 is x=(5pi)/4+10pin,x=(15pi)/4+10pin

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sin(x/5)=(sqrt(2))/2

sin (\frac{x}{5}) = \frac{2}{2}

x = \frac{5 π}{4} + 10 πn, x = \frac{15 π}{4} + 10 πn

Solution steps

sin (\frac{x}{5}) = \frac{2}{2}

General solutions for

sin (\frac{x}{5}) = \frac{2}{2}

\frac{x}{5} = \frac{π}{4} + 2 πn, \frac{x}{5} = \frac{3 π}{4} + 2 πn

Solve

\frac{x}{5} = \frac{π}{4} + 2 πn : x = \frac{5 π}{4} + 10 πn

Solve

\frac{x}{5} = \frac{3 π}{4} + 2 πn : x = \frac{15 π}{4} + 10 πn

x = \frac{5 π}{4} + 10 πn, x = \frac{15 π}{4} + 10 πn

x, sin (x) = 0.6

4 cos (2 t) = 4 sin^{2} (t) + 1

tan^{2} (θ) + 2 tan (θ) = - 1

cos (a) = \frac{2}{3}

- 1 = cos (π t)

What is the general solution for sin(x/5)=(sqrt(2))/2 ?
The general solution for sin(x/5)=(sqrt(2))/2 is x=(5pi)/4+10pin,x=(15pi)/4+10pin