Question

Find sinθ, where θ is the angle shown.Give an exact value, not a decimal approximation.sinθ=

Answer 1

sin 0 = opposite side / hypotenuse

From the triangle:

opposite side = 3

adjacent side = 7

hypotenuse = ?

1.- Calculate the hypotenuse

h^2 = 7^2 + 3^2

h^2 = 49 + 9

h^2 = 58

h = squared root (58)

2.- Calculate the sin 0

sin = 3/squared root (58) =3squared root (58) / 58

`\text{ sin }\emptyset\text{ = }\frac{3\sqrt[]{58}}{58}`