3 years ago

How many solutions does the system of equations have?

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

6 0

It is D :) hope this helps!

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21²/0.219 to 2 significant figures

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Answer:

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Step-by-step explanation:

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nalin [4]

Answer:

$0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi$

Step-by-step explanation:

Given the equation:

$sin(x)-2sin(x) tan(x)=0$

To find:

The solutions of given equation in the range [0, 2 $\pi$ ) i.e. 0 can be in the answer but $2\pi$ can not be there in the answer.

Solution:

Taking $tan(x)$ common, we get:

$tan(x) (1-2sin(x))=0$

The solutions can be given as:

$tan(x) = 0$ OR $1-2sin(x) = 0$

Let us solve both the equations one by one:

First equation:

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Second equation:

$1-2sin(x) = 0\\\Rightarrow 2sinx=1\\\Rightarrow sinx=\dfrac{1}{2}\\\Rightarrow x = \dfrac{\pi}{6}, \dfrac{5\pi}{6}$

Therefore, the answers as a comma separated list are:

$0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi$

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Answer:

three months-three years

Step-by-step explanation:

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