Question

*80 POINTS!!!! PLEASE HELP ME I HAVE BEEN WAITING FOR MORE THAN AN HOUR!!!!!!!!!! MARKING AS BRAINLIEST!! PLEASE SHOW WORK AND EXPLAIN YOUR ANSWER!! I WILL REPORT WRONG ANSWERS!! Which of the following is equivalent tan$(\frac{5\pi }{6} )$ ?
A. cot$(\frac{5\pi }{6})$

B. tan$(\frac{7\pi }{6})$

C. tan$(-\frac{5\pi }{6})$

D. tan$(-\frac{\pi }{6})$

THANKS!

Answer 1

Answer:

  D.  tan(-π/6)

Step-by-step explanation:

The tangent function is periodic with a period of π, so ...

  tan(5π/6) = tan(5π/6 ± kπ) . . . for any integer k

For k = -1, we have ...

  tan(5π/6) = tan(5π/6 -π) = tan(-π/6)