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26 July, 11:17

How do I evaluate the six trigonomic functions of a right triangle with the hypotenuse of 25 and and the adjacent of 24

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  1. 26 July, 11:26
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    First find the dimensions of the triangle by using the Pythagorean's theorem.

    a^2+b^2=c^2

    *c is always the hypotenuse

    24^2+b^2=25^2

    576+b^2=625

    625-576=b^2

    49=b^2

    Square root of 49 = + or - 7b=+-7

    *negative numbers are not often used in length for sides therefore we will be using the positive number.

    Tan=opposite/adjacent = 7/24

    Sin=opp/hypotenuse = 7/25

    Cos = adjacent/hypo = 24/25

    Cot=Tan^-1 (inverse) = 24/7

    Csc = Sin^-1 = 25/7

    Sec = Cos^-1 = 25/24
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