SOLUTION: Find the exact value of tan210 degree

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Question 214091: Find the exact value of tan210 degree
Answer by drj(1380) About Me  (Show Source):
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Find the exact value of tan 210 degree

Step 1. The angle 210 degrees will fall in the third quadrant. This means that the x-coordinate is negative and the y-coordinate is negative. Also you can calculate using the 30-60-90 triangle since 210-180=30 degrees. You will need to draw a graph to see this more clearly.

Step 2. So x-coordinate will be cos%2830%29=-%28sqrt%283%29%2F2%29 and y-coordinate is sin%2830%29=-%281%2F2%29

Step 3. Then we have

tan%28210%29=sin%2830%29%2Fcos%2830%29

tan%28210%29=%28-1%2F2%29%2F%28-sqrt%283%29%2F2%29=1%2Fsqrt%283%29

Step 4. Answer is tan%28210%29=1%2Fsqrt%283%29

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J