Find sin theta

Question

If secΘ = 5/3 and 0° < Θ < 90°, find sinΘ

Answer 1

secθ=5/3

sec=1/cos

1/cosθ=5/3

cross multiply

5cosθ=3

cosθ=3/5

cos=adjacent/hypotenuse

you have a right triangle with the adjacent leg being 3, the hypotenuse being 5, and the opposite leg being 4 because 5^2=3^2+4^2

sin=opposite/hypotenuse

sinθ=4/5