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):
You can put this solution on YOUR website!
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