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17 July, 00:28

A right triangle has side lengths 7, 24, and 25 as shown below.

Use these lengths to find cos A, tan A, and sinA.

cosA =

0

tan A =

0

co

B

sinA =

+5
Answers (1)
  1. 17 July, 00:53
    0
    Answer: Cos A = 0.96, Tan A = 0.29 and Sin A = 0.28

    Step-by-step explanation: The right angled triangle can be solved by applying the trigonometric ratios given a follows;

    Sin A = opposite/hypotenuse

    Cos A = adjacent/hypotenuse

    Tan A = opposite/adjacent

    In the triangle ABC, the side AB (25) is the hypotenuse [facing the right angle], the side CB (7) is the opposite [facing the reference angle A°] while the side AC (24) is the adjacent [line between the reference angle and the right angle].

    Therefore, using angle A as the reference angle;

    (a) Cos A = adjacent/hypotenuse

    Cos A = AC/AB

    Cos A = 24/25

    Cos A = 0.96

    (b) Tan A = opposite/adjacent

    Tan A = CB/AC

    Tan A = 7/24

    Tan A = 0.29

    (c) Sin A = opposite/hypotenuse

    Sin A = CB/AB

    Sin A = 7/25

    Sin A = 0.28
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