Which two values of x satisfy the equation square root 3-2cos x = 2?

Mathematics

1 answer:

Andrei [34K]3 years ago

8 0

Answer: x=2π/3 and x=4π/3

Step-by-step explanation:

The equation we have is $\sqrt{3-2cosx} =2$ . All we have to do is get cosine alone to find the 2 values of x.

$3-2cosx=4\\-2cosx=1\\cosx=-\frac{1}{2}$

Now that we have our cosine left, we can use our unit circle to figure out when does cosx=-1/2. Cosine is the x value of the coordinate.

x=2π/3

x=4π/3

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Find the value of x . PLEASE ANSWER QUICK ILL MARK BRAINLIEST

Ede4ka [16]

Answer:

x = 3

Step-by-step explanation:

both angles together equal 180

Set your formula as

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3 years ago

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determine the quadratic function of f whose graph is given. The vertex is (1,-3) and the y-intercept is -2

LuckyWell [14K]

Hmmm the y-intercept is at -2? what does that mean? well, is where the graph "intercepts" or touches the y-axis, and when that happens, x = 0, so the point is really ( 0 , -2 ).

and we know where the vertex is at. Let's assume a vertical parabola, in which case the squared variable is the "x".

$\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex
\begin{cases}
h=1\\
k=-3
\end{cases}\implies y=a(x-1)^2-3
\\\\\\
\textit{now, we also know that }
\begin{cases}
x=0\\
y=-2
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3 years ago

What is the quotient of the following division problem?

LekaFEV [45]

The quotient of x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol is x+2

Step-by-step explanation:

We need to find quotient of x^2+3x+2 divided by x+1

The division is shown in figure attached.

Quotient: x+2

Remainder: 0

The quotient of x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol is x+2