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Question
If θ=tan−1 a,ϕ=tan−1 b and ab=−1,then θ−ϕ=
If θ=tan−1 a,ϕ=tan−1 b and ab=−1,then θ−ϕ=
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Solution
The correct option is C π2
Given thatθ=tan−1 a and ϕ tan−1 b and ab=−1⇒tan θ tan ϕ=−1⇒tanθ=−cotϕ⇒θ−ϕ=π2.
Given thatθ=tan−1 a and ϕ tan−1 b and ab=−1⇒tan θ tan ϕ=−1⇒tanθ=−cotϕ⇒θ−ϕ=π2.
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