Prove the following.`sin^2Acos^2B+Cos^2Asin^2B+cos^2Acos^2B+sin^2Asin^2B=1`

Prove the following: sin(A+B).sin(A-B)=cos^2B-cos^2A

Evaluate the following: int frac{1}{a^2 sin^2 x+ b^2 cos^2 x} dx

In /_\ABC prove that a^2(cos^2B-cos^2C)+b^2(cos^2C-cos^2A)+c^2(cos^2A-cos^2B) = 0

Prove the following: cottheta(1-cos2theta)=sin2theta

Prove the following:If tanA=1/2,tanB=1/3 ,prove that cos2A=sin2B

Prove the following: sin[(n+1)A].sin[(n+2)A]+cos[(n+1)A].cos[(n+2)A]=cosA

If A+B+C=pi then prove that cos^2 (A/2)+cos^2 (B/2)-cos^2 (C/2)=2cos(A/2)cos(B/2)sin(C/2)

Solve the following: If A+B+C=pi ,prove that sin(B+2C)+sin(C+2A)+sin(A+2B)= 4sin((B-C)/2)sin((C-A)/2)sin((A-B)/2)

Solve the following: In /_\ABC prove the following a^2sin(B-C) = (b^2-c^2)sinA

Prove that sin(45^@+A)sin(45^@-A)=1/2cos2A.