1.06 SINUSOIDAL GRAPH VERTICAL SHIFT
What is the period of the function f(x)=cos10x

The cosine function is the trigonometric function, so it is known as the periodic function.

The period of the given function is π/5. The option 4 is the correct option.

What is the period of the cosine function?

The cosine function is the trigonometric function, hence it is known as the periodic function.

The period of a function is the total interval in which the function repeats itself over and over again the of the function for a complete cycle. If,

[tex]f(x)=A\cos(Bx+C)+D[/tex]

Then the period of the cosine function can be given as,

[tex]I=\dfrac{2\pi}{|B|}[/tex]

Given information-

The given function in the problem is,

[tex]f(x)=\cos(10x)[/tex]

The above function is the cosine function. Let a cosine function of in with values of [tex]x[/tex] 0 to 2π.

Now the period of the periodic function is the interval of [tex]x[/tex] values in which the the cycle of graph repeats itself in both directions.

Compare the given function with above equation we get,

[tex]B=10[/tex]

Thus the period of the [tex]\cos (10x)[/tex] is,

[tex]I=\dfrac{2\pi}{|10|}\\I=\dfrac{\pi}{|5|}\\I=\dfrac{\pi}{5}\\[/tex]

Hence the period of the given function is π/5. Thus the option 4 is the correct option.

Learn more about the period of the function here;

https://brainly.com/question/4599903

Answer:

○ [tex]\displaystyle \frac{\pi}{5}[/tex]

Explanation:

[tex]\displaystyle \boxed{f(x) = sin\:(10x + \frac{\pi}{2})} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{20}} \hookrightarrow \frac{-\frac{\pi}{2}}{10} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{5}} \hookrightarrow \frac{2}{10}\pi \\ Amplitude \hookrightarrow 1[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{5}} \hookrightarrow \frac{2}{10}\pi \\ Amplitude \hookrightarrow 1[/tex]

From the information above, you have your answer.

I am delighted to assist you at any time.

A line is drawn on a coordinate grid by the equation y = 4. Which of the following lines would represent a row parallel to it?

A. A line containing the point (6, 4)

B. x = 4


C. y = 0

D. x = 6

At an advertising agency that employs 256 people, 113 employees receive 2 weeks of paid vacation each year. What is the ratio of those who receive 2 weeks of paid vacation to the total number employees?

Pls someone help ME! PLSPLSPLSPLSPLSPLSPLSPSLPSLPSPLSPLSPLSPPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPSLPSLSPLSPSLPSLSPLSPSLPLPLLPLPSLPSLPLSPSLPSLPSLPSPSLPSLSPSLSPSPLSLSPLSPLSLPSLSPls

11. A surveyor is 100 meters from a bridge. The angle of elevation to the top of the bridge is 35º. The
surveyor's instrument is 1.45 meters above the ground. Find the height of the bridge.

Simplify the expression:
a (-8a^2 + 2a + 4) +3 (ba^2 - 4)

There were 874 tickets sold for a school event. Student tickets were $3 and non-student
tickets were $7. If the total amount of ticket sales was $3,786, how many student
tickets were sold? (Use only the digits 0-9 to enter a number.)
This questions weird

A college’s tuition has risen 4% each year since 2015. If the tuition in 2015 was 30,000, write an equation for this amount of tuition t years after 2015.

the sum of three consecutive odd numbes is 57 what are the three numbers​

How would you limit the domain to
make this function one to one?
f(x) = x2 - 7

Someone please help me with this I need help ASAP

Please Help me!!!

The question is:
Which graph shows the solution to y > x – 8?

Solve these equations.

|x+8|=x+8

PLS, I NEED HELP NOW!!!

Diana took $25.25 to the movies. Each ticket into the movie costs x dollars. Diana bought 5 tickets. Which expression represents the amount of money, in dollars, that Diana had after she bought the tickets?

Which set of side lengths form a right triangle?


50 in., 48 in., 14 in.

53 m, 48 m, 24 m

3 ft, 6 ft, 5 ft

8 cm, 17 cm, 14 cm

Question 5 (1 point)
The letters that form the word MISSISSIPPI are placed in a bowl. What are the odds of choosing
a "P"? Expression your answer as a percentage, rounded to the whole number.
%

please helpppp will make brainlyist

Solve for y 3) 2y + 4x = 8​

PLZ PLZ I BEG U WILL MARK BRAINLIST Five pizzas cost $42.50. At that rate, how much will 16 pizzas cost? SHow Work

A group of friends were working on a student film that had a budget of $1200. They spent all their budget on costumes and equipment. They used 33% of their budget on equipment. How much money did they spend on costumes?

HELP PLEASE , I NEED THIS DUE IN 10 MINUTES AND IM SO CONFUSED

This for an assignment? I NEED HELP?

Write a rule to describe this transformation (geometry)

can someone help me please??!?!

A digital music player has a retail price of 85$ the percent of markup is 140% what is the final price after the markup? (Show work)

Which of the following reveals the minimum value for the equation 2x2 + 12x − 14 = 0? 2(x + 6)2 = 26 2(x + 6)2 = 20 2(x + 3)2 = 32

2x + 3y = 16
3x + 4y = 22

System of Equations

find the equation that represents the proportional relationship between in this graph

If anyone can help I would really appreciate it!

PLEASE HELP IF POSSIBLE :)

find the area of the shape below