[" 2."],[" (i) "tan((1)/(12))]

Prove that "tan"(pi)/(12) "tan"(pi)/(16) "tan"(5pi)/(12)"tan"(7pi)/(16)=1

Evaluate: (i) sin{cos^(-1)(-3/5)} (ii) tan{cos^(-1)(-(12)/(13))}

If 13 e^(i tan^(-1)(5//12))= a+ib , then |a| + |b| is equal to ____________.

Prove that tan ((pi) / (12)) * tan (5 (pi) / (12)) * tan (7 (pi) / (12)) * tan (11 (pi) / (12)) = 1

Prove: (ii) tan ((pi)/12) tan ((5 pi)/12) tan ((7 pi)/12) tan ((11 pi)/12) = 1

" (i) "tan( 1/2(tan^(-1)x+tan^(-1)(1/x)))=1

int(1)/(cos x+sqrt(3)sin x)dx equals ( i )log(tan((x)/(2)+(pi)/(12)))+c( (ii) log(tan((x)/(2)-(pi)/(12)))+c( iii) (1)/(2)*log(tan((x)/(2)+(pi)/(12)))+c( iv )(1)/(2)*log(tan((x)/(2)-(pi)/(12)))+c

" (i) "tan^(-1)1+tan^(-1)2+tan^(-1)3=pi

The value of sum_(k=1)^(13)tan((k pi)/(12))tan(((k-1)pi)/(12)) is

If A=[[1, tan((theta)/(2))], [-tan((theta)/(2)), 1]] and AB=I , then B=