Question

A point on the terminal side of an angle \(\theta\) in standard position is \((-20, 15)\). Find the exact value of each of the six trigonometric functions of \(\theta\).

          A point on the terminal side of an angle \(\theta\) in standard position is \((-20, 15)\). Find the exact value of each of the six trigonometric functions of \(\theta\).
        
A point on the terminal side of an angle θ in standard position is (-20, 15). Find the exact value of each of the six trigonometric functions of θ.

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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A point on the terminal side of an angle heta in standard position is (-20,15). Find the exact value of each of the six trigonometric functions of heta . A point on the terminal side of an angle 0 in standard position is(-20,15.Find the exact value of each of the six trigonometric functions of o.
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Transcript

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00:01 So first, we're called out the relationship between an ordered pair x and y in the radius is that x per plus y squared equals r squared spathagorean theorem.
00:12 And then we have our six trig functions for any given angle through that point described here.
00:20 So let's identify our x, y, and radius if we're dealing with the point 0 .3 comma 0 .4.
00:29 Well then our x is 0 .3, our y is 0 .4.
00:37 And let's go find the radius.
00:38 The radius squared is equal to x squared plus y squared.
00:48 The 0 .3 squared plus 0 .4 squared is 0 .25, which means the radius is the square root of 0 .25, which is 0 .5.
01:04 Now we have all the information we need here in order to find our six trig functions...
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