12*cos((1)/(2))+2sin^(2)((1)/(2))

cos A=cos^(2)((A)/(2))-sin^(2)((A)/(2))=1-2sin^(2)((A)/(2))=2cos^(2)((A)/(2))-1

Prove that :cos((pi)/(12))-sin((pi)/(12))=(1)/(sqrt(2))

If sin^(-1)((5)/(x))+sin^(-1)((12)/(x))=sin^(-1)((2)/(x))+cos^(-1)((2)/(x)) then the value of x is equal to

If sin^(-1)((5)/(x))+sin^(-1)((12)/(x))=sin^(-1)((2)/(x))+cos^(-1)((2)/(x)) then the value of x is equal to

[cos((A)/(2))-sin((A)/(2))]^(2)=1-sin A

Prove that: (sin A + cos A)/(sin A - cos A) + (sin A - cos A)/(sin A + cos A) = (2)/(sin^(2)A-cos^(2)A)=(2)/(2sin^(2)A-1)=(2)/(1-2 cos^(2)A) .

Prove the following identities: (sin+cos A)/(sin A-cos A)+(sin-cos A)/(sin A+cos A)=(2)/(sin^(2)A-cos^(2)A)=(2)/(2sin^(2)A-1)=(2)/(1-2cos^(2)A)

cos^(2)(sin^(-1)(1/6))+sin^(2)(cos^(-1)(1/2))

sin(sin^(-1)(1)/(2)+cos^(-1)(1)/(2))

(sin ^ (2) (22 (1) / (2)) ^ (@) + cos ^ (2) (22 (1) / (2)) ^ (@)) / (sin ^ (2) (44 (1) / (2)) ^ (@) + cos ^ (2) (44 (1) / (2)) ^ (@))