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

If cos A+cos B=1/2 and sin A +sin B=1/4 then prove that tan ((A+B)/2)=1/2 .

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 cos A = tan B , cos B= tan C, cos C= tanA , show that sin A= sin B= sin C= 2 sin 18^(@)