The expression `3[sin^4(3/2pi-alpha)+sin^4(3pi+alpha)]-2[sin^6(1/2pi+alpha)+sin^6(5pi-alpha)]` is equal to

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)] .

(1)/(sin3alpha)[sin^(3)alpha+sin^(3)((2pi)/(3)+alpha)+sin^(3)((4pi)/(3)+alpha)] is equal to

Find the value of the expression 3{sin^4((3pi)/2-theta)+sin^4(3pi+theta)}-2{sin^6(pi/2+theta)+sin^6(5pi-theta)}

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

If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

The value of the expression (sin7alpha+6sin 5 alpha+17sin3alpha+12sin alpha)/(sin6alpha+5sin 4alpha+12 sin 2 alpha) , where alpha=(pi)/(5) is equal to :

If alpha in (-(3pi)/2,-pi) , then the value of tan^(-1)(cotalpha)-cot^(-1)(tanalpha)+sin^(-1)(sinalpha)+cos^(-1)(cosalpha) is equal to (a) 2pi+alpha (b) pi+alpha (c) 0 (d) pi-alpha

If alpha in (-(3pi)/2,-pi) , then the value of tan^(-1)(cotalpha)-cot^(-1)(tanalpha)+sin^(-1)(sinalpha)+cos^(-1)(c0salpha) is equal to 2pi+alpha (b) pi+alpha (c) 0 (d) pi-alpha

The expression (sin alpha+cos alpha)/(cos alpha-sin alpha) tan((pi)/(4)+alpha)+1, alpha in (-(pi)/(4), (pi)/(4)) simplifies to :

The value of (sin(pi-alpha))/(sin alpha-cos alpha tan.(alpha)/(2))-cos alpha is