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
earnstyle [38]
3 years ago
12

Find all solutions to the equation. cos2x + 2 cos x + 1 = 0

Mathematics
1 answer:
yanalaym [24]3 years ago
5 0
For cos(2x) * (2cos(x) + 1) = 0, use the double angle identity for cos(2x), which is cos^2 x - sin^2 x = cos^2 x - (1-cos^2) = 2cos^2 x - 1.
So we have (2cos^2 x - 1)(2cos x + 1) = 0. So 2cos^2 x -1 = 0 or x = 0 and 2pi.
For 2sec^2 x + tan^2 x - 3 = 0, use the identity sec^2 x = tan^2 x + 1, so we have
2(tan^2 x + 1) + tan^2 x - 3 = 0 or
<span>2tan^2 x + tan^2 x - 1 = 0 or
</span>3 tan^2 x = 1.

So x = pi/2, pi/2 + pi = 3pi/2.

You might be interested in
PLZ HELP!!!!!!!!!!!!!!
Vsevolod [243]

Answer:

Isn't that just soild liquid and gas atoms?

The image is showing how the atoms change depending on which state of matter it is, so if it is a soild the atoms would be really compacted as it moves slower, if it's a liquid then it's more looser than a soild, but more compacted than a gas, and a gas is just moving a lot and has a lot more space.

^^ That would be the answer if you on the states of matter or something like that unit.

6 0
3 years ago
Read 2 more answers
How much heat is released when 12. 0 grams of helium gas condense at 2. 17 K? The latent heat of vaporization of helium is 21 J/
aleksandr82 [10.1K]

The amount of heat released when 12.0g of helium gas condense at 2.17 K is; -250 J

The latent heat of vapourization of a substance is the amount of heat required to effect a change of state of the substance from liquid to gaseous state.

However, since we are required to determine heat released when the helium gas condenses.

The heat of condensation per gram is; -21 J/g.

Therefore, for 12grams, the heat of condensation released is; 12 × -21 = -252 J.

Approximately, -250J.

Read more on latent heat:

brainly.com/question/19863536

7 0
2 years ago
If the total cost plus shipping is greater than $35,then you receive a 10% discount off the original selling price. Do you quali
RUDIKE [14]

<u>It's not clear what is the specific requirement of the question, but I'll assume a couple of situations to help you with your real problem.</u>

Answer:

$45 (qualified)

$30 (did not qualify)

Step-by-step explanation:

<u>Percentage Calculations</u>

Relative quantities are usually expressed as percentages (%). We say x percent of y is the proportion xy/100. When discounts or surcharges are applied, they are subtracted or added to the original quantity.

The question explains I receive a 10% discount off the original selling price if the total cost plus shipping is greater than $35. Let's assume the total cost plus shipping is $50. Since it's greater than $35, it qualifies for a discount. The discount is 10% of $50 = (10)(50)/100= $5. So the new total cost will be $50 - $5 = $45

Let's suppose now the total cost+shipping is $30. Since it's not greater than $35, no discount will be applied and we have to pay $30

7 0
3 years ago
Help pls pls pls pls
Rufina [12.5K]

Answer:

im begging

Step-by-step explanation:

7 0
2 years ago
What is the answer to this problem? Thank you!
Misha Larkins [42]

what are the statements?

8 0
3 years ago
Other questions:
  • How would you use the Fundamental Theorem of Calculus to determine the value(s) of b if the area under the graph g(x)=4x between
    11·1 answer
  • The rectangle below has an area of x(2 power) -6x -7 square meters and a width of x-7 meters.
    13·1 answer
  • Please help me with this
    13·2 answers
  • Can some one help with this one question
    13·2 answers
  • Consider 6x2 + 6x + 1. Which term immediately tells you that this expression is NOT a perfect square trinomial? Justify your ans
    15·2 answers
  • 1. Find the circumference of a circle with a radius of 12 cm. Round decimal answer to the
    6·2 answers
  • Please help me with this!!! Thanks!
    7·1 answer
  • Please answer 100 pt
    10·2 answers
  • What is the value of x in the equation below? 3x - 15 = 60
    8·2 answers
  • 1.<br> In the equation below, what is the value of x<br> 20=x+(2 x 8) - 6
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!