`sec^2(tan^(01)2)+cos e c^2(cot^(-1)3)` is equal to 5 (b) 13 (c) 15 (d) 6

sin(tan^(-1)99 + cot^(-1)99) is equal to a) 0 b) -1 c) 1/2 d) 1

"cos"(2001)pi+"cot"(2001) pi/2+sec(2001)pi/3+tan(2001)pi/4+cos e c(2001)pi/6 equal to 0 (b) 1 (c) -2 (d) not defined

The value of 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x) is equal to (a) cot^(-1)x (b) cot^(-1)1/x (c) tan^(-1)x (d) none of these

9sec^2A-9tan^2A is equal to (a) 1 (b) 9 (c) 8 (d) 0

Prove that: sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3)=15 and tan^2(sec^(-1)2)+cot^2(cos e c^(-1)3)=11

Prove that: sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3)=15 and tan^2(sec^(-1)2)+cot^2(cos e c^(-1)3)=11

The value of 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x) is equal to cot^(-1)x (b) cot^(-1)1/x tan^(-1)x (d) none of these

Prove that: sec(tan^-1 1)+cos e c(cot^(-1) 1)=4

int e^(tan^(-1)x)(1+x+x^2)d(cot^(-1)x) is equal to (a) -e^(tan^(-1)x)+c (b) e^(tan^(-1)x)+c (c) -xe^(tan^(-1)x)+c (d) xe^(tan^(-1)x)+c

If in A B C ,A C is double of A B , then the value of (cot(A/2))(cot((B-C)/2)) is equal to 1/3 (b) -1/3 (c) 3 (d) 1/2