`4a^2 sin^2 ((3pi)/4)- 3 [a tan 225^@]+ [2a cos 315^@]^2=`

The value of the ,, sin ^ (2) 37 ^ (@), sin ^ (2) 53 ^ (@), - tan ^ (2) 225 ^ (@) sin ^ (2) 53 ^ (@), -tan ^ (2) 135 ^ (@), sin ^ (2) 37 ^ (@) - tan ^ (2) 315 ^ (@), sin ^ (2) 37 ^ (@), sin ^ (2) 53 ^ (@)] | is

What is sin^2(3pi)+cos^2(4pi)+tan^2(5pi) equal to?

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

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

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

The expression (1 + sin 2 alpha )/( cos (2 alpha - 2pi) tan (alpha - (3pi)/(4 ))) -1/4 sin 2 alpha [ cot "" (alpha )/(2) + (alpha )/(2))] when simplified reduces to

Prove that, cos^(2) (pi/4) + sin^(2) (3pi/4) + sin^(2) (5pi/4) + sin^(2)(7pi/4) = 2 .

Prove that 2sin^2(pi/2) + cos^2(pi/3) + tan ^2(pi/4) = 13/4

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