`sin((3pi)/(2)-pi/4)`

A travelling wave in a string is represented by y=3 sin ((pi)/(2)t - (pi)/(4) x) . The phase difference between two particles separated by a distance 4 cm is ( Take x and y in cm and t in seconds )

find the value of the expression 3[sin^(4)(3(pi)/(2)-alpha)+sin^(4)(3 pi+alpha)]-2[sin^(6)((pi)/(2)+alpha)+sin^(6)(5 pi-alpha)]

Given that "sin"^(-1)("sin""(3pi)/(4))=(2pi)/(k) ,then k=

If A-[[sin((3 pi)/(2)),sin pi,2],[cos((2 pi)/(3)),1,k],[cos pi,-4,tan((pi)/(4))]] is a singular matrix, then the value of k is

sin^(2)(pi)/(4)+sin^(2)(3 pi)/(4)+sin^(2)(5 pi)/(4)+sin^(2)(7 pi)/(4)=2

Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(3pi+alpha)]-2[sin^(6)((pi)/(2)+alpha)+sin^(6)(5pi-alpha)] .

sin(pi)/(4)*sin(3 pi)/(4)*sin(5 pi)/(4)*sin(7 pi)/(4)=

The expression 3{sin^(4)((3pi)/(2)-alpha)+sin^(4)(3pi-alpha)} -12{sin^(6)((pi)/(2)+alpha)+sin^(6)(5pi-alpha)} is equal to

sin (pi/2) = 2 sin(pi/4) cos (pi/4)