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sin ^(2)(pi/6) + cos ^(2)(pi/3) - tan ^(...

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

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

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prove that tan((pi)/(4)+(1)/(2) cos ^(-1)""(a) /(b) )+tan ((pi)/(4) -(1)/(2) cos ^(-1) ""(a)/(b))=(2b)/(a).

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