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What is the value of the expression? Do not use a calculator. tan(-11pi/6)
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1 vote
What is the value of the expression? Do not use a calculator.

tan(-11pi/6)

User Marqueed
by
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2 Answers

5 votes

Answer:


tan((-11\pi)/(6))= tan (-\pi +(-5\pi)/(6))\\\\ tan[-(\pi +(5\pi)/(6))]\\\\=-tan(\pi +(5\pi)/(6))\\\\=-(tan(5\pi)/(6))\\\\=-tan((5\pi)/(6))\\\\=-tan(\pi -(\pi)/(6))\\\\=tan (\pi)/(6)\\\\ =(1)/(√(3))

User Jordan LaPrise
by
7.6k points
6 votes
tan(-11π/6)
= tan(π/6 - 2π)
= tan(π/6)
= √(3)/3
User Woden
by
7.7k points
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