haiher6rynthewlgech haiher6rynthewlgech

05-09-2016
Mathematics

Answered

The point P(18, 24) is on the terminal side of θ. Evaluate sin θ.

Verified Answer :

Hussain514 Hussain514

14-09-2016

sin θ = opposite/hypotenuse
P(18,24) lies in the first quadrant as both are positive.
x=18
y=24
Hypotenuse = sqrt (18^2 + 24^2)
Hypotenuse = 30
sin θ = 24/30
sin θ = 4/5
θ = sin^-1 (4/5)
θ = 53.13 degrees

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samayagarwal samayagarwal

06-07-2018

the final answer is 4/5.

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