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Question
If `"x + y" = "x"/4` then (1+ tanx)(1 + tany) is equal to ____________.
Options
2
-1
1
none of these
MCQ
Fill in the Blanks
Solution
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`
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