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BlackZzzverrR [31]
3 years ago
11

Help ? What’s the answer ?

Mathematics
1 answer:
ELEN [110]3 years ago
6 0

Answer:

D. - i

Step-by-step explanation:

i = √( - 1)

i³ = √( - 1)*√( - 1)*√( - 1) = √(-1)² *√(-1) = - 1*i = - i

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3 years ago
Answer the question above ​
Vera_Pavlovna [14]

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.

3 0
3 years ago
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