Question

find the exact value of the given trigonometric function
tan13π/4

Answer 1

Reference Angle. What is the reference angle for 13pi/4?

Answer 2

ok... so 2pi is 1 revolution

\[\frac{13\pi}{4} = \frac{8\pi}{4} + \frac{5\pi}{4} \]


and \[\frac{8\pi}{4} = 1 revolution \]

so you need to evaluate

\[\tan (\frac{5\pi}{4})\]

so the angle is in the 3rd quadrant where tan is positive



\[\tan(\pi + \frac{\pi}{4}) = \tan(\frac{\pi}{4})\]

just find the exact value of

\[\tan(\frac{\pi}{4})\]

Answer 3

find the exact value of the given trigonometric function

-cos (π/4)+16π)