hi all, i need some help to solve this problem..

i knew we have to make the equation with jacobi-anger expansion,

so that we get the series form of that equation, and then integrate it

but i cant find the exact jacobi-anger expansion in any web for sin(z sin t) sin(z cos t) cos(z sin t) sin(z sin t)

i tried wiki but i think it doesnt correct

so, please help me find the RIGHT expansion, or any of you guys have a different method to solve it?

thank you very much