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Find the Trigonometric Sine Ratio of an Angle in Standard Position Whose Terminal Arm Passes Through the Point (3, 4). - Geometry

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Find the trigonometric sine ratio of an angle in a standard position whose terminal arm passes through the point (3, 4).

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Solution

The terminal arm passes through (3,4)

x=3 and y=4

 r = `sqrt("x"^2+"y"^2)`

 r =`sqrt(3^2+4^2)` s

 r = `sqrt(9+16)`

 r =`sqrt25`

 r = 5

sinθ `= "P"/"H" ="y"/"r" = 4/5` 

Concept: Trigonometric Ratios in Terms of Coordinates of Point
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