Multiple Choice Questions on The value of sin 1 3 5 tan 1 1 7 is equal to ........ for NDA Exam Preparation

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Multiple Choice Questions

The value of sin 1 3 5 tan 1 1 7 is equal to ........

Mathematics (NDA) Trigonometry
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    The value of sin-1 ( 3 / 5 )+ tan-1 ( 1 / 7 ) is equal to -

    0

    Incorrect Answer

    π / 4

    Correct Answer

    π / 3

    Incorrect Answer

    π / 2

    Incorrect Answer
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    Explanation:

    Sin-1 3/  5 + tan-1 1 / 7

    Let A=sin-1 3 / 5 or sin A = 3/5 ⇒ cos A = 4/5

    tan B = 3/4

    And B = tan-1 1 / 7 or tan B = 1/7

    Now A + B = tan-1 (tan A) + tan-1 (tan B) = tan-1 3 / 4 + tan-1 1 / 7

    = tan-1 ( 3 / 4 + 1 / 7 x 1 − 3 / 28) = tan-1 1 = π/4

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