cos(A+B)=cos A*cos B-sin A sin B

Prove that (sin A+sin B)/(cos A+cos B)+(cos A-cos B)/(sin A-sin B)=0

Prove the following identities: tan^(2)A-tan^(2)B=(cos^(2)B-cos^(2)A)/(cos^(2)B cos^(2)A)=(sin^(2)A-sin^(2)B)/(cos^(2)A cos^(2)B)(sin A-sin B)/(cos A+cos B)+(cos A-cos B)/(sin A+sin B)=0

If A = 60 ^(@) and B = 30 ^(@) , find the value of (sin A cos B+ cos A sin B)^(2) + (cos A cos B - sin A sin B )^(2)

In a Delta ABC ,angle C=90^(@)and tan A=(1)/(sqrt(3)). find the values of : (i) (sin A*cos B+ cos A*sin B ) " " (ii) (cos A*cos B-sin A*sin B)

Prove by vector method that sin(A-B)=sin A cos B-cos A sin B and sin(A+B)=sin A cos B+cos A sin B

If A+B+C=(3 pi)/(2), then cos2A+cos2B+cos2C is equal to a.1-4cos A cos B cos C b.4sin A sin B sin C c.1+2cos A cos B cos Cd.1-4sin A sin B sin C

For all values of angle A and B(i)sin(A-B)=sin A cos B-cos A sin B(ii)sin(A+B)=sin A cos B+cos A sin B

Prove (i)cos(A+B)+cos(A-B)=2cos A cos B(ii)cos(A-B)-cos(A+B)=2sin A sin B

If A+B+C=(3 pi)/(2), then cos2A+cos2B+cos2C is equal to (A)1-4cos A cos B cos C(B)4sin A sin B sin C(C)1+42cos A cos B cos C(D)1-4sin A sin B sin C

Prove that : sin(A- B) = sin A cos B -cos A sin B .