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polet [3.4K]
3 years ago
9

Solve the equation for solutions in the interval [0, 2 π). Use algebraic methods and give exact values. Support your solution gr

aphically. cos2x = 0

Mathematics
2 answers:
Anvisha [2.4K]3 years ago
7 0

Answer:

Step-by-step explanation:

● cos 2x = 0

We khow that Pi/2 equals 0.

So

● 2x = Pi/2 or 2x= -Pi/2

Then:

● x = Pi/4 or x = -Pi/2

So the solutions are:

● x = Pi/4 + 2×k×Pi

● or x = -Pi/4 + 2×k×Pi

Where k is an integer

The picture below has a graphical solution

● Pi/4 is approximatively 0.785 and -Pi/4 is approximatively -0.785

● the output of both Pi/4 and -Pi/4 is 0

So our answer was righr

SSSSS [86.1K]3 years ago
4 0

Answer:

45° or 135°

Step-by-step explanation:

Cos 2x = 0

2x = cos^-1 0

2x = 90° or 270°

x= 45° or 135°

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saveliy_v [14]
Well here : 5 times 9 = 45 and 7 times 7 = 49 so it would be 45/49!
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3 years ago
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Is 1/2 equivalent to 5/8
kompoz [17]
<span>No. 

To check this yourself, you need the denominators to be the same to be able to easily compare the two. 

For example, does 5/8 = 40/64? 

1. Determine what you would need to do to the denominator in 5/8 to make it 64. (Multiply it by 8) 
2. Find what fraction is equal to 1 with a denominator of 8. (8/8) 
3. Multiply the fraction 5/8 by the one you just found (8/8), numerator times numerator, denominator times denominator. 
4. Compare the answer with the second fraction. 

It is important that when you multiply the denominator by any number you multiply the numerator by the same number. This is to preserve the fraction's value. This works because any number divided by itself is equal to 1, AND when you multiply any number by 1 (whether 1 is in the form of 1 or 4/4 or 8/8 or 234/234), the answer is always equal to the original number. 

Another way to check would be to simply enter 1/2 into a calculator, write down the answer. Next enter 5/8 into a calculator. If the answers are the same, they are equal.</span><span>
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8 0
3 years ago
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Help please!!!!!!!!!
Alenkasestr [34]

Answer:

B. x^{2} - 4x - 5

Step-by-step explanation:

(p о n) (x) is the same thing as (p(n(x))

We know n(x) = x - 5, so let's input that into our expression

(p(x - 5))

Since we know p(x) = x^2 + 6x, let's replace the x with the new value x-5. Now our expression is:

p(x) = (x - 5)^2 + 6(x - 5)

Now all we have to do is simplify.

(x - 5)^2 is the same as:  (x - 5)(x - 5)

Using the foil method, it simplifies to:  x^2 - 10x + 25

6 (x - 5) = 6x - 30

Now our expression is:  x^2 - 10x + 25 + 6x - 30

Combine like terms:  x^2 - 4x - 5

The expression is: x^{2} - 4x - 5

5 0
2 years ago
I need help with linear regression ​
frutty [35]

Answer:

<em>In statistics, linear regression is a linear approach to modelling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables). The case of one explanatory variable is called simple linear regression. For more than one explanatory variable, the process is called multiple linear regression. This term is distinct from multivariate linear regression, where multiple correlated dependent variables are predicted, rather than a single scalar variable.</em>

6 0
3 years ago
Solve: -1/4 (2x + 8) = -6​
vredina [299]

Answer:

x = 8

Step-by-step explanation:

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Divide both sides by 2.

x = 8

3 0
3 years ago
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