Question

find all solutions of the equation in the interval [0,2pi)

sin(x + pi/2 ) - sin (x- pi/2) =3^1/3

Answer 1

thanks i got the answer

Answer 2

\[
\sin (x)-\sin (y)=2 \sin
\left(\frac{x-y}{2}\right)
\cos
\left(\frac{x+y}{2}\right)
\]
Did you use this formula?

Answer 3

no i used this equation

sin (u+v) = sin u cos v + cos u sin v

Answer 4

That will do.
The formula I mentioned gives you
\[
2 \cos(x) = \sqrt 3\\
x=\pm \frac {\pi}6+ 2 k \pi
\]
Did you get this answer?

Answer 5

yes thanku

Answer 6

yw