Question

Find sin 0, where is the angle shown.
Give an exact value, not a decimal approximation.

Answer 1

sinθ =
`(24)/(25)`

Explanation:

By applying Pythagoras theorem in the given triangle,

Hypotenuse² = (Leg 1)² + (Leg 2)²

= (24)² + 7²

Hypotenuse = √625 = 25

By applying sine rule in the given triangle,

sinθ =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

Since, measure of opposite side = 24

Measure of hypotenuse = 25

Therefore, sinθ =
`(24)/(25)` will be the answer.