Trigonometric Functions

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  • Q1

    Period of tan x is

    Marks:1
    Answer:

    .

    Explanation:
    If t is the smallest positive real number such that f(x + t) = f(x) for all x, then t is called the period of f(x). We know  is smallest positive real number for which tan ( + t) = tant.
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  • Q2

    The value of is

    Marks:1
    Answer:

    1/16.

    Explanation:

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  • Q3

    If (sec + tan ) (sec + tan) (sec+ tan) = tan tan tan, then expression(sec – tan ) (sec - tan) (sec- tan) is equal to

    Marks:1
    Answer:

    cot cotcot.

    Explanation:

    (sec + tan ) (sec + tan) (sec+ tan) = tan tan tan

    (sec2 - tan 2) (sec2 – tan2) (sec2 – tan2)

    =tantantan (sec – tan ) (sec – tan )(sec – tan )

    1 = tan tan tan (sec – tan ) (sec – tan )(sec – tan )

    (sec - tan ) (sec – tan ) (sec – tan ) = cot cot cot

     

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  • Q4

    Marks:1
    Answer:

    (2 - e2)3/2.

    Explanation:

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  • Q5

    The expression

    Marks:1
    Answer:

    2/cos.

    Explanation:

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