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The value of tan h^-1 (2^-1) is

1) log 2 2) log 2-1 3) log √3 4) None of these Solution: (3) log √3 tan h-1 x... View Article

1) 1 2) 0 3) log (1 + √2) 4) -1 Solution: (2) 0 cosec h-1 x = log [1... View Article

1) log cot (x / 2) 2) log tan (x / 2) 3) log cot x 4) None of these... View Article

1) log {[z – 1] / [z + 2]} 2) (1 / 2) log {[z – 1] / [z +... View Article

1) (1 / 2) cos h 2x cos 2y 2) (1 / 2) cos 2x cos h 2y 3) (1... View Article

1) 0 2) 2 3) Root 2 4) None of these Solution: (4) None of these tan h (πi /... View Article

1) sin2 x 2) cos h2 x 3) cos2 x 4) 1 Solution: (3) cos2 x sin x cos hy... View Article

1) 1 2) – 1 3) cos2 x 4) sin2 x Solution: (1) 1 tan (x / 2) = tan... View Article

1) cos hx 2) sin hx 3) tan hx 4) cosec hx Solution: (2) sin hx cosec θ = cot... View Article

1) cosec θ 2) cot θ 3) tan (θ / 2) 4) tan θ Solution: (4) tan θ cos h2... View Article

1) log [cot (θ / 2)] 2) π / 2 3) (1 / 2) log [cot (θ / 2)] 4) None... View Article

1) cos2 u + sin h2 v 2) sin2 u + cos h2 v 3) cos2 u + cos h2... View Article

1) cos2 (ɑ / 2) 2) sin2 (ɑ / 2) 3) cot2 (ɑ / 2) 4) tan h2 (ɑ /... View Article

1) sec x 2) cosec x 3) tan x 4) sin x Solution: (1) sec x u = log tan... View Article

1) tan h-1 √5 2) tan h-1 (1 / √5) 3) tan h-1 √3 4) tan h-1 (2 / √5)... View Article

1) √7 2) – √7 3) log √7 4) – log √7 Solution: (3) log √7 x = tan h-1... View Article

1) cos h-1 (1 / 3) 2) cos h-1 √3 3) cos h-1 3 4) cos h-1 (√2 + 1)... View Article

1) (1 / 2) log [1 + x] / [1 – x] 2) (1 / 2) log [x + 1]... View Article

1) tan x / tan hy 2) tan hx / tan y 3) tan hx / tan hy 4) cos... View Article

1) (1 / 2) log [x + 1] / [x – 1] 2) (1 / 2) log [x – 1]... View Article