Question

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

sin(D) =

cos(E) =
tan(D) =
sin(E) =
tan(D) =

Answer 1

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.

Answer 2

sin(D) = 24/25

tan(D) = 24/7

sin (E) = 7/25