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
Zarrin [17]
3 years ago
13

How do you solve the equation 2cos^2 - cosx = 0 for all solutions?

Mathematics
1 answer:
exis [7]3 years ago
7 0

Answer:

<em>π/2 and π/3</em>

Step-by-step explanation:

Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.

let P = cosx

The equation becomes 2P²-P = 0

P(2P-1) = 0

P = 0 and 2P-1 = 0

P= 0 and P = 1/2

Since P = cosx

cosx = 0 and cos(x) =  1/2

If cos(x) = 0

x = cos⁻¹0

x = 90⁰

x = π/2

If cos(x) = 1/2

x = cos⁻¹1/2

x = 60⁰

x = π/3

<em>Hence the solutions to the equation are π/2 and π/3.</em>

You might be interested in
-0.615,-5/8,-0.63 least to greatest
Zarrin [17]
-0.63,-5/8,-0.615 I hope this is helpful and I'm pretty sure it's correct.
4 0
3 years ago
Read 2 more answers
Plz Help<br> Convert to radians<br> 80° <br><br> Show your work please
Sav [38]

Answer:

1.39626

Step-by-step explanation:

80° × π/180 = 1.396rad

3 0
3 years ago
Read 2 more answers
Solve the problem shown above^^
malfutka [58]

Answer:

Step-by-step explanation:

Since the lengths of the shelves are given in cm and the answer is to be expressed in cm, then let's convert the length of the whole board from 2.5 m to cm. Since there are 100 cm in a m, then multiply 2.5 by 100 to get 250 cm. Now let's start with the expressions for the shelves. The lengths of all the shelves are based on the length of the first shelf. You can usually tell which object is the main one because it is mentioned the most number of times. The first shelf is mentioned 3 times so that is the main shelf that the measurements of all the other shelves are based upon. Let's call the first shelf x. The second shelf is 18 cm longer than twice the length of the first so the second shelf is 2x + 18.

The third shelf is 12 cm shorter than the first so the third shelf is x - 12.

The last shelf is 4 cm longer than the first shelf so the last shelf is x + 4. Since he needs to use all 250 cm of the board, we add all the shelves together and set them equal to 250 cm:

x + 2x + 18 + x - 12 + x + 4 = 250 and

5x + 10 = 250 and

5x = 240 so

x = 48. The first shelf is 48 cm long. But we need the length of the second shelf. The expression for the second shelf is 2x + 18, so 2(48) + 18 = 114 cm.

8 0
4 years ago
How to evaluate (9/16)^-2
Sophie [7]
The correct answer is b. When raising a number to a negative power switches the denominator and the numerator.
5 0
3 years ago
Suppose eded is going to burn a compact disk​ (cd) that will contain 1414 songs. in how many ways can eded arrange the 1414 song
ivann1987 [24]
Q6837482663t5ydajhf9sdhkjf
3 0
3 years ago
Other questions:
  • Gerry had a coupon for $0.25 off a
    10·2 answers
  • What is the measure of angle x? 60 degrees 70 degrees 80 degrees 100 degrees<br><br> help!!!!
    6·1 answer
  • Which equation represents direct variation, if k represents the constant of variation? A) y = kx B) yx = k C) y = kx2 D) y = kxz
    10·2 answers
  • I drove 320 miles in 5 hours, how many miles did I drive in 2 hours?​
    5·1 answer
  • Write an explicit formula for a_na
    5·1 answer
  • 13+(x+8) plz i need help
    10·2 answers
  • i will give brainliest to the first person to answer, dont stress too much with these, they are due like a week so no hurry
    11·2 answers
  • Find the measure of side a.
    13·1 answer
  • Solve: sin(11pi/2 +x)= -1/2 for [pi, 2pi]
    5·1 answer
  • How many blocks is it from the school bus stop to the theater bus stop?​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!