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

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

Prove that, sin^(2)((pi)/(8)+(A)/(2))-sin^(2)((pi)/(8)-(A)/(2))=(1)/(sqrt(2))sinA

Prove that sin ^(2) ((pi)/(8)+(A)/(2)) - sin ^(2) ((pi)/(8) - (A)/(2))=(1)/(sqrt2) sin A .

Prove that cos^(2)(pi/8-A/2)-cos^(2)(pi/8+A/2) = sin(pi/4). sinA=1/sqrt(2)sinA

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)) = (1) / (sqrt (2)) sin A

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

What is the value of expression cos^(2)((pi)/(8))+4cos^(2)((pi)/(4))-sec((pi)/(3))+5tan^(2)((pi)/(3))+sin^(2)((pi)/(8)) ?

2cos ^ (4) ((pi) / (8)) + 2cos ^ (4) ((3 pi) / (8))