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Exact value of trigonometric funtions?

Find the exact value of the six trigonometric functions of 45*

SIN(45*)

COS(45*)

TAN(45*)

CSC (45*)

SEC(45*)

COT(45*)

4 Answers

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  • 1 decade ago
    Favorite Answer

    sin 45 = 1 / sqrt(2)

    cos 45 = 1 / sqrt(2)

    tan 45 = 1

    csc 45 = sqrt(2)

    sec 45 = sqrt(2)

    cot 45 = 1

  • Anonymous
    1 decade ago

    You can find all of these by drawing a triangle with angles 90deg, 45deg, 45deg.

    Let the two equal sides each be 1 unit long.

    The hypotenuse is then sqrt(2) from Pythagoras' Theorem.

    sin(45) = cos(45) = 1 / sqrt(2) = sqrt(2) / 2.

    tan(45) = cot(45) = 1

    cosec(45) = sec(45) = sqrt(2).

  • 1 decade ago

    SIN(45*)

    sqrt(2)/2

    COS(45*)

    sqrt(2)/2

    TAN(45*)

    1

    CSC (45*)

    2 sqrt(2)/2

    SEC(45*)

    2 sqrt(2)/2

    COT(45*)

    1

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