Solve E^x = k/c sin^2(x) Homework

[squaremeplz]

Homework Statement

$$e^x = \frac {k}{c}sin^2(y)$$ solving for t

i thought it was $$t=arcsin(\sqrt{\frac{ce^x}{k}})$$

but my calc is saying like the answer above + ln4*pi + pi.

 

[n1person]

er, where is there a "t" in your expression? do you mean t instead of y? or is y a function of t? if the y is supposed to be a t, you are most certainly right, otherwise, we are missing information

 

[HallsofIvy]

Homework Statement

$$e^x = \frac {k}{c}sin^2(y)$$ solving for t

i thought it was $$t=arcsin(\sqrt{\frac{ce^x}{k}})$$

but my calc is saying like the answer above + ln4*pi + pi.

$$y= arcsin(\sqrt{\frac{ce^x}{k}}))$$
is a solution buy sine is a periodic function so there are other values of y that will give the same value.