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Use the reference angle to find the exact value of the given expression.\\ $\sin (-60^\circ)$

          Use the reference angle to find the exact value of the given expression.\\
$\sin (-60^\circ)$
        
Use the reference angle to find the exact value of the given expression.

sin (-60^∘)

Added by -Ngel A.

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Use the reference angle to find the exact value of the given expression. sin(-60deg ) Use the reference angle to find the exact value of the given expression. sin(-60) K
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Transcript

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00:01 For this question, we're asked to solve a tangent of 225 degrees using reference angles.
00:13 So let's graph 225 degrees so it's easier to find where the reference angle is.
00:19 We have zero degrees here, 90 degrees, 180 degrees, 270 degrees, and a full circle would give us 360 degrees here.
00:32 So 225 degrees, so that's supposed to be 270 degrees.
00:38 So 225 degrees would be somewhere in the third quadrant.
00:43 So this angle right here is 225 degrees.
00:47 And the reference angle we're trying to find is this angle right there.
00:52 So if it's in the third quadrant to find the reference angle, we can simply do 225 degrees minus 180 degrees, which would give us 45 degrees.
01:06 So our new problem we're solving for is the tangent of 45 degrees...
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