If tan -1 x-tan -1 y-4 -5- then -1 x- -1 y equals toab 2 -5c 3 -5d -

(a) We have, tan^ 1 x+tan^ 1 y=4π/5 ⇒ π/2 cot^ 1 x+π/2 cot^ 1 y=4π/5 ⇒ (cot^ 1 x+cot^ 1 y )=4π/5 π [∵ tan^ 1 x+cot^ 1 x=π/2 ] ⇒ (co ...

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Relation between Inverses of Trigonometric Functions and Their Reciprocal Functions

If tan -1 x+t...

Question

If $t a n^{- 1} x + t a n^{- 1} y = \frac{4 π}{5}, t h e n c o t^{- 1} x + c o t^{- 1} y$ equals to

(a) $\frac{π}{5}$ (b) $\frac{2 π}{5}$ (c) $\frac{3 π}{5}$ (d) $π$

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