In a right-angled triangle FCD, the angle C is 90 °; FC = 24cm; CD = 7cm. Find sin D; cos D; tg D.
| June 30, 2021 | education
Let us determine the tangent of angle D through the lengths of the legs.
tgD = FC / CD = 24/7 = 3 (3/4).
From the right-angled triangle CFD, determine the length of the hypotenuse FD.
FD ^ 2 = FC ^ 2 + CD ^ 2 = 24 ^ 2 + 7 ^ 2 = 576 + 49 = 625.
FD = 25 cm.
Let’s define CosD and SinD.
CosD = CD / FD = 7/25.
SinD = FC / FD = 24/25.
Answer: SinD = 24/25, CosD = 7/25, tgD = 3 (3/4).
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