(vu)sin(pi)/(3)tan(pi)/(6)+sin(pi)/(2)cos(pi)/(3)=2sin^(2)(pi)/(4)

Prove that : "sin"(pi)/(3) "tan"(pi)/(6) +"sin"(pi)/(2) "cos"(pi)/(3) =2 "sin"^(2)(pi)/(4) .

sin((13pi)/3)sin((8pi)/3)+cos((2pi)/3)sin((5pi)/6)=1/2

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

(sec^(2)(pi)/(4)-cot^(2)(pi)/(4))/(sin^(2)(pi)/(3)+cos^(2)(pi)/(6))+(sin^(2)(pi)/(2)-cos^(2)(pi)/(3))/((1)/(4)tan^(2)(pi)/(6))=9(2)/(3)

Prove that (sin(-(11pi)/(3))tan((35pi)/(6))sec(-(7pi)/(3)))/(cos((5pi)/(4))cosc((7pi)/(4))cos((17pi)/(6)))= (2)/(sqrt(3))

"tan"^(2)(pi)/(4) "sin"(pi)/(3) "tan"(pi)/(6) "tan"^(2)(pi)/(3) =

"sin^(2)(pi)/(6)+cos^(2)(pi)/(3)-tan^(2)(pi)/(4)=-(1)/(2)"

Evaluate the following: sin^(-1)(sin(pi)/(4)) (ii) cos^(-1)(cos2(pi)/(3))tan^(-1)(tan(pi)/(3))

Prove that: (sin(8 pi))/(3)(cos(23 pi))/(6)+(cos(13 pi))/(3)(sin(35 pi))/(6)=(1)/(2)