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    • Question : The value of $\tan10°\tan15°\tan75°\tan80°$ is: Option 1: 0
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    Question : The value of $\tan10°\tan15°\tan75°\tan80°$ is:

    Option 1: 0

    Option 2: 1

    Option 3:  –1

    Option 4: 2

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    Team Careers360 9th Jan, 2024
    Answer
    Answer (1)
    Team Careers360 10th Jan, 2024

    Correct Answer: 1


    Solution : $\tan10°\tan15°\tan75°\tan80°$
    $= \tan10°\tan15°\tan(90°-15°)\tan(90°-10°)$
    $= \tan10°\tan15°\cot15°\cot10°$
    $=1$
    Hence, the correct answer is 1.

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