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10 April, 15:40

What are the trigonometric ratios of a right triangle ABC that has its right angle at C? AC=12 and BC=5

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  1. 10 April, 17:06
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    There are 3 trigonometric ratios:

    Sine = opposite/hypotenuse,

    Cosine = adjacent/hypotenuse and

    tangent = opposite/adjacent

    Since in the question we have not been given the hypotenuse, we calculate it first.

    So, hypotenuse = √ (12²+5²) = √ (144+25) = √169 = 13.

    Now we can find the trigonometric ratios;

    Sin A = Cos B = 5/13

    Sin B = Cos A = 12/13

    Tan A = 5/12

    Tan B = 12/5
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