All categories

3 years ago

Solve sin^2x+cos2x-1/4=0

1 answer:

8 0

$sin^{2}x + cos2x - \frac{1}{4} = 0$
$sin^{2}x + cos^{2}x - sin^{2}x = \frac{1}{4}$
$cos^{2}x = \frac{1}{4}$
$cos(x) = \pm \frac{1}{2}$

$x = \pm \frac{\pi}{3}$
General solutions: $x = \pi(n - \frac{1}{3})$ and $x = \pi(n + \frac{1}{3})$

You might be interested in

How do you answer rhis

Igoryamba

You answer this problem bye cost i already got my answer though thanks for trying...

5 0

3 years ago

A profit function is derived from the production cost and revenue function for a given item. The monthly profit function for a c

SpyIntel [72]

Check the picture below.

$\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lccclll}
P(x) = &{{ -0.05}}x^2&{{ +500}}x&{{ -100000}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)\\\\
-------------------------------\\\\
\textit{so }-\cfrac{b}{2a}\textit{ units maximize the profit, and}\\\\\\
c-\cfrac{b^2}{4a}\textit{ dollars is the maximum profit}$

5 0

3 years ago

Algebra math word problems

irga5000 [103]

26. 4 people went to the aquarium

27. $1.50 per game (subtraction property and division property)

7 0

3 years ago

What is 6×6

Nikolay [14]

Answer: 6 x 6 is 6 squared (6^2)

Explanation:
Any number multiplied by itself is squared. (ie. 36 x 36 is 36 ^ 2, 2 x 2 is 2^2 etc)

Hope this helps!! :)

3 0

2 years ago

Veronica has been saving dimes and quarters she has 110 coins in all and the total value is 18.50 how many dimes and quarters do

Lady_Fox [76]

This problem can be solved by the chicken rabbits method or you can just do simple algebra.

I.) Chicken and rabbits method

First assume all 110 coins are dimes and none are quarters.

We will have a total value of 11 dollars

Now for each dime we switch out for a quarter, we adds 15 cents to the total value.

18.50-11=7.50 dollars

There are 750/15=50 group of 15 cents in the 7 dollars and 50 cents.

This also meant that we need to switch out 50 dimes for 50 quarters.

So we have 50 quarters.

That first method is very good and very quick once you get the hang of it, now I'm going to show you the algebraic way to solve this.

Let's say there are x dimes and y quarters.

Set up equation

x+y=110

10x+25y=1850

Now solve multiply first equation by 10

10x+10y=1100

subtract

15y=750

y=50

Now we set the numbers of quarters to y so the answer is 50 quarters.

I personally recommend using algebra whenever you can because the practice is very important and you will eventually get really fast at setting up and solving equations. The first method is faster in this case but the second is more generalize, hope it helps.

6 0

2 years ago