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4 February, 11:26

Which trigonometric ratios are correct for triangle DEF? Check all that apply.

sin (D) =

cos (E) =

tan (D) =

sin (E) =

tan (D) =

+1
Answers (1)
  1. 4 February, 11:56
    0
    Triangle DEF is a right triangle. We will use the Pythagorean theorem to find the length of the Hypotenuse DE:

    DE² = 7² + 24²

    DE² = 49 + 576

    DE² = 625

    DE = 25

    sin D = Opposite / Hypotenuse = 24 / 25

    tan D = Opposite / Adjacent = 24 / 7

    sin E = Opposite / Hypotenuse = 7 / 25

    Answer:

    A) sin D = 24 / 25

    C) tan D = 24 / 7

    D) sin E = 7 / 25.
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