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    • Question : The least value of $\tan^2x+\cot^2x$ is: Option 1: 3 Option 2: 2 Opt
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    Question : The least value of $\tan^2x+\cot^2x$ is:

    Option 1: 3

    Option 2: 2

    Option 3: 0

    Option 4: 1

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    Team Careers360 12th Jan, 2024
    Answer
    Answer (1)
    Team Careers360 18th Jan, 2024

    Correct Answer: 2


    Solution : The value will be minimum when $x = 45°$
    Minimum value $= \tan^2x+\cot^2x=\tan^245°+\cot^245°=1+1=2$
    Hence, the correct answer is 2.

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