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Olegator [25]
2 years ago
11

Answer the question above ​

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
3 0

Answer:

tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)

Option A is correct.

Step-by-step explanation:

We need to find equivalent of tan\:\left(\frac{5\pi }{6}\right)

First we solve tan\:\left(\frac{5\pi }{6}\right)

We get -\frac{1}{\sqrt{3} }

Now checking all the options.

Option A: tan\:(-\frac{\pi}{6} )

Solving tan\left(-\frac{\pi }{6}\right)\: we\: get\: \mathbf{ -\frac{1}{\sqrt{3} }}

Option B: tan\left(\frac{7\pi }{6}\right)

Solving tan\left(\frac{7\pi }{6}\right)\: we\: get\: \mathbf{\frac{1}{\sqrt{3} }}

Option C: cot\left(\frac{5\pi }{6}\right)

Solving cot\left(\frac{5\pi }{6}\right)\:we\:get\:\mathbf{-\sqrt{3} }

Option D : tan\left(-\frac{5\pi }{6}\right)

Solving tan\left(-\frac{5\pi }{6}\right) \:we\:get:\mathbf{\frac{1}{\sqrt{3} } }

So, looking at the options, only Option A has the same result as given question

So, tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)

Option A is correct.

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Step-by-step explanation:

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