Multiple Choice Questions on If tan A cot A 4 then tan 4 A cot 4 A is equal to ........ for CDS Exam Preparation

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Multiple Choice Questions

If tan A cot A 4 then tan 4 A cot 4 A is equal to ........

Quantitative Aptitude (CDS) Trignometry
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    If tan A + cot A = 4 then tan 4 A + cot 4 A is equal to

    110

    Incorrect Answer

    191

    Incorrect Answer

    80

    Incorrect Answer

    194

    Correct Answer
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    Explanation:
    tanA+cotA=4
    Squaring both sides, we get
    tan2A+cot2A+2=16
    ⇒tan2A+cot2A=14        Again, squaring both sides, we get
    tan4A+cot4A+2=196
    ⇒tan4A+cot4A=194

    By: Munesh Kumari
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