SOLUTION: find the exact value of tan(-3 pie)
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Question 149789: find the exact value of tan(-3 pie)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Use the identity to rewrite the expression.
Rewrite tangent in terms of sine and cosine.
Rewrite as
Rewrite the expression using the identities and
Now, let's reference the unit circle
From the unit circle, we can see that at the angle , there is a point on the unit circle )
. So this tells us that and . Also at the angle , there is a point on the unit circle )
. So this tells us that and .
Take the cosine of to get -1. Take the sine of to get 0. Take the cosine of to get 1. Take the sine of to get 0.
Multiply
Add
Reduce
So
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