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3 years ago

X3=−216 Enter your answer in the box. x =

Mathematics

2 answers:

larisa86 [58]3 years ago

6 0

X^3 = - 216

We know, (-6) x (-6) x (-6) = -216

So x = -6

Romashka-Z-Leto [24]3 years ago

3 0

Answer:

-72

Step-by-step explanation:

First, you do is divide by 3 from both sides of an equation.

\frac{x*3}{3}=\frac{-216}{3}

Then, you divide by the numbers from left/right.

-216/3= -72

I hope this helped!

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For this question we need to know the following identities:

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$1-\frac{1}{1-sec^2x} \\\\\frac{1-sec^2x-1}{1-sec^2x} \\\\\frac{-sec^2x}{1-sec^2x} \\\\\frac{-(1+tan^2x)}{-tan^2x}$

now break the LCM

$\frac{-1}{-tan^2x}+\frac{-tan^2x}{-tan^2x}\\\\\frac{1}{tan^2x}+1\\\\cot^2x+1$

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now we solve the above part and replace the bottom most part that we solved with $cosec^2x$

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