I am having alot of trouble with this particular question

Determine the exact value of each trigonometric ratio.

1) Tan 23pi/12

answer in my book says 2 + square root 3

Thank you

- Nov 28th 2009, 02:47 PMTheCB4Compound Angle Formulas Determining Exact Value of Trigonometric Ratio Help!?!?!?!
I am having alot of trouble with this particular question

Determine the exact value of each trigonometric ratio.

1) Tan 23pi/12

answer in my book says 2 + square root 3

Thank you - Nov 28th 2009, 02:51 PMmr fantastic
For starters, the answer is meant to be negative since 23pi/12 lies in the 4th quadrant.

Note that:

1. $\displaystyle \tan \frac{23 \pi}{12} = - \tan \frac{\pi}{12}$ by symmetry of the unit circle.

2. $\displaystyle \frac{\pi}{12} = \frac{\pi}{3} - \frac{\pi}{4}$ so using the compound angle formula is suggested .... - Nov 28th 2009, 03:47 PMTheCB4
- Nov 28th 2009, 06:06 PMmr fantastic