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Julli [10]
3 years ago
13

*80 POINTS!!!! PLEASE HELP ME I HAVE BEEN WAITING FOR MORE THAN AN HOUR!!!!!!!!!! MARKING AS BRAINLIEST!! PLEASE SHOW WORK AND E

XPLAIN 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!
Mathematics
1 answer:
ruslelena [56]3 years ago
7 0

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)

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