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JEE MainMathematicsEasyTrigonometry

If A + B = π4,\frac{\pi}{4},  then (tan⁡A+1)(tan⁡B+1) is equal to.

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tanA+tanB1−tanAtanB=1\frac{tanA + tanB}{1 - tanAtanB} = 1
⇒tanA+tanB+tanAtanB+1=1+=\Rightarrow tanA + tanB + tanAtanB + 1 = 1 + =
⇒(1+tanA)(1+tanB)=2\Rightarrow (1 + tanA)(1 + tanB) = 2

Source: Grass-G / M-18 Mathematics Paper 27 Nov Third.docx

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