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19 July, 12:16

Match the trigonometric ratios with their values based on the triangle shown in the diagram.

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  1. 19 July, 12:35
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    It is a right triangle.

    The vertices of the triangle are named C, B, D.

    The vertex B is the right angle (90°)

    The hypotenuse (opposite to B) is the segment CD and it measures 5.

    The vertex D is between the leg BD, which measures 3, and the hypotenuse.

    The vertex C is between the leg BC, which measures 4, and the hypotenuse.

    Then you can state all these ratios:

    sin (D) = segment BC / hypotenuese = 4 / 5

    cos (C) = segment BC / hypotenuse = 4 / 5

    cos (D) = segment BD / hypotenuese = 3 / 5

    sin (C) = segment BC / hypotenuse = 3 / 5

    tan (D) = segment BC / segment BD = 4 / 3

    tan (C) = segment BD / segment BC = 3 / 4
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