1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Orlov [11]
2 years ago
13

Please help me. It's literally math!

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
5 0

Answer:

see below

Step-by-step explanation:

given function: Cos(x)=\frac{1}{3}

  • ------------------------------------------------------------------------------------------------------

Cosine - (In a right triangle, the ratio of the length of the adjacent side to the length of the hypotenuse.)

  • ---------------------------------------------------------------------------------------------------

#1: Take the inverse cosine of both sides of the equation to extract x from inside the cosine.

x=arccos\frac{1}{3}

#2: Evaluate

x=1.23095941

#3: The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from 2π to find the solution in the fourth quadrant.

x=2(3.14159265)-1.23095941

#4: Simplify the equation above.

- Multiply 2 by 3.14159265

x=6.2831853-1.23095941

- Subtract 1.23095941 from 6.2831853

x=5.05222588

#5: Find the period.

- The period of the function can be calculated using \frac{2\pi }{|b|}.

\frac{2\pi }{|b|}

- Replace b with 1  in the formula for period.

\frac{2\pi }{|1|}

#6: Solve the equation.

- The absolute value is the distance between a number and zero. The distance between 0 and 1 is 1.

\frac{2\pi }{1}

- Divide 2\pi by 1.

2\pi

The period of the cos(x) function is 2\pi so values will repeat every 2\pi radians in both directions.

x=1.23095941+2\pi n,5.05222588+2\pi n, for any integer n

You might be interested in
Which of the following functions is graphed below?
mrs_skeptik [129]

Step-by-step explanation:

For y = x^3 - 4 when x = 0, y = -4.

For y = x^2 + 3 when x = 0, y = 3.

Looking at the graph, the y-intercept of the function is below 0. Hence the bottom part is from x^3 - 4 and the top is from x^2 + 3.

The bottom part has a dark circle, which means when x = 1 it belongs to x^3 - 4.

Hence the answer is D.

3 0
3 years ago
What is -15÷3 please help me with this <br>​
Sergio [31]

Answer:

-5

Step-by-step explanation:

You can work backwards with this problem if that helps you.  

so, what times 3 = -15

-5 times 3 = -15 so that would be the answer

4 0
3 years ago
Read 2 more answers
Gwen bought 3 sodas at the grocery store if each soda cost $1.85 and she paid with a twenty dollar bill how much change should s
AnnZ [28]

Answer:

14.5 hope this helps!

Step-by-step explanation:

3 times 1.85 is 5.5

20.0 - 5.5= 14.5

3 0
2 years ago
4. Solve using elimination.<br> 4x -3y = 9<br> 3x +2y = 11
UNO [17]
Answer: (3,1)

Explanation:
8 0
3 years ago
Read 2 more answers
Must be added to 14056 to result in a sum of 38,773?
sweet [91]
38773 - 14056 = 24717
24717 + 14056 = 38773
4 0
3 years ago
Other questions:
  • List an Order Pair from each of the 4 quadrants and tell which quadrant each point is in.
    9·2 answers
  • Evaluate these please [-4+9]<br> [-4]+9
    7·1 answer
  • PLEASE HELP ASAP 35 POINTS
    15·1 answer
  • Find the distance between points A and C.
    7·2 answers
  • What would be 30 +40
    5·2 answers
  • LAST TIME I PUT THIS UP OFFERING A LOT OF POINTS SOME ONE PLEASE!!!!
    5·1 answer
  • I am confused and need an answer ASAP.
    11·1 answer
  • I will give brainliest pls help
    9·1 answer
  • Please tell the truth please help me please help me with the work please please help me with the work please help me with the wo
    9·2 answers
  • PLEASE HELP ASAP LOOK AT PICTURE I WILL GIVE BRAINLIEST IF ANSWER IS CORRECT what is the distance from -6 to 0?​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!