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Find the Sine Ratio of θ in Standard Position Whose Terminal Arm Passes Through (3, 4) - Geometry Mathematics 2

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Question

Find the sine ratio of θ in standard position whose terminal arm passes through (3, 4)

Solution

Terminal arm passes through (3, 4).

\[\therefore r = \sqrt{x^2 + y^2} = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5\]

Hence, 

\[\sin\theta = \frac{y}{r} = \frac{4}{5}\]
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2016-2017 (March) B

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