If `A +B = 225 ^(@),` prove that `tan A + tan B =1- tan A tan B`

If A +B = 45 ^(@), show that tan A + tan B + tan A tan B =1. Hence or otherwise, express tan 22 ^(@) 30' in surd form.

Given that A = B +C. prove that tan A - tan B - tan C = tan A tan B tan C.

If A + B + C = pi , prove that tan3A + tan3B + tan3C = tan3A*tan3B*tan3C

If A+B+C=pi , prove that : tan( A/2) tan (B/2) + tan (B/2 )tan (C/2)+ tan( C/2) tan (A/2) =1

If cosec A + sec A = cosec B + sec B , prove that tan A tan B = cot( A+ B)/ 2

Prove that tan 12^@ tan 24^@ tan 48^@ tan 84^@ = 1 .

If A + B = (pi)/(4) , then prove that (1 + tan A) (1 + tan B) = 2

By using above basic addition/ subtraction formulae, prove that (i) tan (A+B)=(tan A+tan B)/(1-tan A tan B) , (ii) tan (A-B)=(tan A-tanB)/(1+tan A tan B) (iii) sin2theta=2sintheta costheta , (iv) cos2theta=cos^(2)theta=1-2sin^(2)theta=2cos^(2)theta-1 (v) tan 2theta=(2 tan theta)/(1-tan^(2) theta)

Statement-1: In any DeltaABC if A is obtuse, then tanBtanC lt1 Statement-2: In any !ABC , we have tan A + tan B + tan C = tan A tan B tan C

If cos(A+B) sin (C-D) = cos (A-B) sin (C+D) , then show that tan A tan B tan C + tan D =0