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emmasim [6.3K]
3 years ago
11

What is the period of f(x) = sin(x)?

Mathematics
2 answers:
Korolek [52]3 years ago
7 0

Answer:

The period of f(x)=\sin x\text{ is }2\pi

Step-by-step explanation:

Given : f(x)=\sin x

To find : The period of f(x)?

Solution :

Period is define as the value that repeat itself at regular interval.

We know that general form of sin function is

y=a\sin\ (bx+c)+d

Where,

\text{Period}=\dfrac{2\pi}{|b|}

Now, We have given

f(x)=\sin x

where, b=1

So, period will be

\text{Period}=\dfrac{2\pi}{|1|}\\\\\text{Period}=\dfrac{2\pi}{1}\\\\\text{Period}=2\pi

Therefore, The period of f(x)=\sin x\text{ is }2\pi

Lady bird [3.3K]3 years ago
6 0
The regular period is 2pi. If you look up or type in a graphing calculator you can see that's when the sine function starts to repeat itself.
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What is 11/15= 8/15-w
victus00 [196]

Answer: w= 1/5

Step-by-step explanation:

11/15=8/15 -w

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3 years ago
What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 ti
Marat540 [252]

Answer:

x = \frac{5 + \sqrt{53}}{2}  or  x = \frac{5 - \sqrt{53}}{2}

Step-by-step explanation:

Given

x^2 - 5x - 7 = 0

Required

Solve for x using:

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

First, we need to identify a, b and c

The general form of a quadratic equation is:

ax^2 + bx + c = 0

So, by comparison with x^2 - 5x - 7 = 0

a = 1     b = -5      c = -7

Substitute these values of a, b and c in

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}

x = \frac{5 \± \sqrt{25 +28}}{2}

x = \frac{5 \± \sqrt{53}}{2}

Split the expression to two

x = \frac{5 + \sqrt{53}}{2}  or  x = \frac{5 - \sqrt{53}}{2}

To solve further in decimal form, we have

x = \frac{5 + 7.28}{2}  or  x = \frac{5 - 7.28}{2}

x = \frac{12.28}{2}  or  x = \frac{-2.28}{2}

x = 6.14 or x = -1.14

4 0
3 years ago
Please help ! I don’t get it!
Amiraneli [1.4K]

Answer:

PR = 16

SR = 12

Step-by-step explanation:

6/8 = (x-3)/(x+1)

8x-24 = 6x+6

simplify

2x = 30

x = 15

PR = 15 + 1 = 16

SR = 15 - 3 = 12

8 0
3 years ago
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