Question

If `"x + y" = "x"/4` then (1+ tanx)(1 + tany) is equal to ____________.

पर्याय

• 2

• -1

• 1

• none of these

Answer 1

If `"x + y" = "x"/4` then (1+ tanx)(1 + tany) is equal to 2.

Explanation:

If `"x + y" = "x"/4` then (1+ tanx)(1 + tany)

`=> (1 + "tan x") (1 + "tan" ("x"/4 - "x"))`

`=> (1 + "tan x") (1 + (1 - "tan x")/(1 + "tan x"))`

`=> (1 + "tan x") (2/1 + "tan x") = 2`