math precalculus

Question

Point P(3,5) is on the terminal arm of angle θ in standard position. calculate sin θ

Answer 1

Point P(3,5) is on the terminal arm of angle θ in standard position. calculate sin θ

For point (3,5)

Adjacent = 3

Opposite = 5

So hypotenuse = √ ( 3² + 5² ) = √ 9 +25 = √34 = 5.83

Sinθ = Opposite / Hypotenuse = 5/5.83 = 0.858

so θ = Sin ^-1 ( 0.858 ) = 59.0 degree