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Question

If α+β=π2 and β+α=α, then tan α equals

A
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B
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C
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Solution

The correct option is C

(c) α+β=π2=>tan β=cot α
tan(β+γ)=tanα=>tan α=tan β+tan γ1tan β tan γ
=>tan α=cot α+tan γ1cot α tan γ
=>tan αtan γ=cot α+tan γ
=>tan α=tan β+2 tan γ


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