find the exact value. \n tan \\frac{ - 5 \\pi } { 3 } \n type + or -
find the exact value. \n tan \\frac{ - 5 \\pi } { 3 } \n type + or -
Answer
Explanation:
Step1: Use the property of tangent function
Since (\tan(x)=\tan(x + n\pi)), (n\in\mathbb{Z}). For (\tan\left(\frac{- 5\pi}{3}\right)), we can write (\frac{-5\pi}{3}=\frac{-5\pi}{3}+2\pi=\frac{\pi}{3}).
Step2: Find the value of (\tan) for the equivalent angle
We know that (\tan\left(\frac{\pi}{3}\right)=\sqrt{3}).
Answer:
(+\sqrt{3})