`2cot^-1 7+cos^-1 (3/5)` is equal to (A) `cot^-1 (44/117)` (B) `cosec^-1 (125/117)` (C) `tan^-1 (44/117)` (D) `cos^-1 (44/125)`

2tan^(-1)(-2) is equal to (a) -cos t^(-1)((-3)/5) (b) -pi+cos^(-1)3/5 (c) -pi/2+tan^(-1)(-3/4) (d) -picot^(-1)(-3/4)

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

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

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

8 cot^2A-8 cosec^2A is equal to a) 8 b) 1/8 c) -8 d) - 1/8

Find the following values : (a) tan^(1) tan.(13pi)/(5) (b) sec^(-1) sec.(13pi)/(3) (c) sin^(-1) sin.(33pi)/(5) (d) sin^(-1) (sin 8) (e) tan^(-1) (tan 10) (f) sec^(-1) (sec 9) (g) cot^(-1) (cot 6) (h) cosec^(-1) (cosec 7)

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

sec^(2) (tan^(-1) 2) + cosec^(2) (cot^(-1) 3) is equal to

If A = 1/1 cot ^(-1) (1/1) + 1/2 cot^(-1) (1/2) + 1/3 cot ^(-1) ( 1/3) " and " B = 1 cot^(-1) ( 1) + 2 cot^(-1) (2) + 3 cot^(-1) (3) " then " |B - A| " is equal to " (api)/b + c/d cot ^(-1) (3) where a,b,c,d in N are in their lowest form , find ( b -a - c - d)

(1+tan^2A)/(1+cot^2A) is equal to sec^2A (b) -1 (c) cot^2A (d) tan^2A