Can someone explain, for sin(t)=a, how to get soln t=(-1)^k sin^(-1) (a) + πk ?

[mjxcv]

sin(t)=a
t=(-1)^k sin^(-1) (a) + πk

please explain I do not understand the (-1)^k and πk

 

[mjxcv]

Explain this formula

(-1)^k sin^-1 (x) + πk

I do not understand the part for (-1)^k and πk

for sine shouldnt it be 2πk?

please explain

 

[stapel]

sin(t)=a
t=(-1)^k sin^(-1) (a) + πk

please explain I do not understand the (-1)^k and πk

Do you know how to solve the initial equation on just the first period? Are you familiar with the fact that sine waves repeat themselves exactly, over every period?

Thank you!