Prove that: `s in^2pi/6+cos^2pi/3-t a n^2pi/4=-1/2`

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

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

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

Prove that (a) sin^(2)(pi/6) + cos^(2)( pi/3) - tan^(2)(pi/4) = -1/2 (b) sin((8pi)/3) cos((23pi)/6) + cos((13pi)/3) sin((35pi)/6) = 1/2

2sin^2(pi/6 )+c o s e c^2((7pi)/6)cos^2(pi/3)=3/2

Prove that: cos^(2)((pi)/(4)-theta)-sin^(2)((pi)/(4)-theta)=s in2 theta

Prove that: 2(sin pi)/(6)sec(pi)/(3)-4(sin(5 pi))/(6)(cos pi)/(4)=1

Prove that: 2sin^(2)(pi)/(6)+csc^(2)(7 pi)/(6)cos^(2)(pi)/(3)=(3)/(2)

Prove that: 2sin^(2)(3(pi)/(4))+2cos^(2)((pi)/(4))+2sec^(2)((pi)/(3))=10

Prove that: (a) 2sin^(2)(pi/2) + "cosec"^(2)((7pi)/2) cos^(2)(pi/3)=(3/2)^2 (b) 2sin^(2)((3pi)/4)+2cos^(2)(pi/4)+2sec^(2)(pi/3)=10