Multiple Choice Questions on If tan A B radic 3 and tan A 1 then tan A B is equal to ........ for CDS Exam Preparation

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Multiple Choice Questions

If tan A B radic 3 and tan A 1 then tan A B is equal to ........

Quantitative Aptitude (CDS) Trignometry
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    If tan (A + B) = √3 and tan A = 1, then tan( A - B) is equal to

    0

    Incorrect Answer

    1

    Incorrect Answer

    \frac{1}{\sqrt{3}}

    Correct Answer

    √2

    Incorrect Answer
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    Explanation:

    tan(A+B)=√3⇒A+B=60°
    tanA=1⇒A=45°
    ∴B=60°−45°=15°
    So,tan(A−B)=tan(45°−15°)
    =tan30°=\frac{1}{\sqrt{3}}

    By: Munesh Kumari
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