" If "L=sin^(2)((pi)/(16))-sin^(2)((pi)/(8))" and "M=cos^(2)((pi)/(16))-sin^(2)((pi)/(8))" ,then "

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

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

"sin"^(4)(pi)/(16) + "sin"^(4) (3pi)/(16) + "sin"^(4) (5pi)/(16) + "sin"^(4) (7pi)/(16)=

Prove (i) "sin"^(2)(pi)/(8)+"sin"^(2)(3pi)/(8)+"sin"^(2)(5pi)/(8)+"sin"^(2)(7pi)/(8)=2 (ii) [1+cotalpha-sec((pi)/(2)+alpha)] [1+cotalpha+sec((pi)/(2)+alpha)]=2cotalpha

(cos^(2)pi)/(8)+(sin^(2)(3 pi))/(8)+(sin^(2)(5 pi))/(8_(sin)^(2))(7 pi)/(8)=2

sin^(2)((A)/(2)+(pi)/(8))-sin^(2)((A)/(2)-(pi)/(8))=(1)/(sqrt(2))sin A

sin^(2)((pi)/(8)+(A)/(2))-sin^(2)((pi)/(8)-(A)/(2)) is equal to