If `sin A=a cos B` and `cos A=b sin B` then `tan^(2)B`=

If sin A=a cos B and cos A=b sin B then (a^(2)-1)tan^(2)A+(1-b^(2))tan^(2)B is equal to

If A and B are complementary angles, then the value of sin A cos B + cos A sin B - tanA tan B + sec^(2) A - cot^2 B is

If sin A+cos B=a and sin B+cos A=b, then sin(A+B) is equal to

If cos A = tan B , cos B = tan C and cos C = tan A then show that sin A = sin B = sin C = 2sin 18^circ .

If A+B+C =pi , sin A sin B sin C=p and cos A cos B cos C=q then obtain the cubic equation whose roots are tan A, tan B and tan C.

If sin (A-B)=sin A cos B-cos A sin B and cos (A - B) = cos A cos B + sin A sin B . find the values of sin 15^@ and cos 15^@.