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Yanka [14]
3 years ago
11

Find the general solution and find the specific solutions over the interval [0,4pi]

Mathematics
1 answer:
Natasha2012 [34]3 years ago
5 0

Answer:

Isolate the angle 2x, by following the reverse "order of operations".

Step-by-step explanation:

Explanation:

Step 1: Add 1 to both sides:

2

cos

2

(

2

x

)

=

1

Step 2: Divide both sides by 2:

cos

2

(

2

x

)

=

1

2

Step 3: Take the square root of both sides:

cos

(

2

x

)

=

√

2

2

or

cos

(

2

x

)

=

−

√

2

2

(don't forget the positive and negative solutions!)

Step 4: Use inverse of cosine to find the angles:

2

x

=

cos

−

1

(

√

2

2

)

or

2

x

=

cos

−

1

(

−

√

2

2

)

Step 5: Find angles that work:

2

x

=

π

4

or

2

x

=

7

π

4

or

2

x

=

3

π

4

or

2

x

=

5

π

4

Step 6: Solve for x:

x

=

π

8

,

7

π

8

,

3

π

8

,

5

π

8

or .785, 5.5, 2.36, 3.93

(decimal approximations are seen on the graph below)

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ArbitrLikvidat [17]

Answer:

27

Step-by-step explanation:

4 times 4 is 16

2 boxes in the middle

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1 entire one on the outside

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7 0
3 years ago
Genuinely confused rn
frosja888 [35]

Using it's concept, it is found that the probability that he winds up wearing the white shirt and tan pants is of \frac{1}{8}.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem:

  • For the shirt, there is 4 outcomes, hence the probability of the white shirt is 1/4.
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Since the shirt and the pants are independent, the probability is given by:

p = \frac{1}{4} \times \frac{1}{2} = \frac{1}{8}.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

8 0
1 year ago
The table represents the function f(x). If g(x) = -(x + 1)^2 - 10, which statement is true?
miskamm [114]

Answer:

Answer C is correct.

Step-by-step explanation:

f(x) clearly has a maximum:  y = +10 at x = 0.

Analyzing g(x) = -(x + 1)^2 - 10, we see that the vertex is at (-1, -10), and that the graph opens down.  Thus, -10 is the maximum value; it occurs at x = -1.

Answer A is false.  Both functions have max values.

Answer B is false.  One max is y = 10 and the other is y = -10.

Answer C is correct.  The max value of f(x), which is 10, is greater than the max value of g(x), which is -10.

Answer D is false.  See Answer B, above.

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3 years ago
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Digiron [165]

Answer:

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Step-by-step explanation:

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90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages

90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300

? minutes = 90*300/45 = 600 minutes

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That means...
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