Show that `2sin^2 (pi/6)+sin^2 (pi/4)=1`

Prove that sin^2(pi/8)+sin^2((3pi)/8)+sin^2((5pi)/8)+sin^2((7pi)/8)=2

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

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

Show that cos ((pi)/(2)-x)=sin x

Show that sin ((pi)/(2)-x)=cos x

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

Find the value of the following: sin^2(pi/6)+cos^2(pi/3)-tan^2(pi/4)

Prove that "sin"^(2)(pi)/(18)+"sin"^(2)(pi)/(9)+"sin"^(2)(7pi)/(18)+"sin"^(2)(4pi)/(9)=2 .

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

The value of sin^(2)""(pi)/(8) + sin^(2)""(3pi)/(8) + sin^(2)""(5pi)/(8) + sin^(2) ""(7pi)/(8) is equal to a) (1)/(8) b) (1)/(4) c) (1)/(2) d)2