PLEASE HELP, COLLEGE TRIGONOMETRY! Find the sine, cosine, and tangent of angle θ .

Question

Λ

28 /. \ 28

/ . θ \

48

sinθ= ?

cosθ= ?

tanθ= ?

Answer 1

If you bisect the segment of length 48 with a segment from the other vertex, you will have formed two congruent right triangles, each with sides of length 24 and a (stands for altitude) and hypotenuse 28.

a = sqrt(28² - 24²) = 4 sqrt(7² - 6²) = 4√13

sinθ = a/hypotenuse= 4√13/28 = √13/7

cosθ = adjacent/hypotenuse = 24/28 = 6/7

tanθ = opposite/adjacent = 4√13/24 = √13/6