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
tino4ka555 [31]
1 year ago
12

Solve in |R 2cos(2x) +√2 = 0

Mathematics
1 answer:
Alexxx [7]1 year ago
4 0

It is given that:

\begin{gathered} 2\cos 2x+\sqrt[]{2}=0 \\ 2\cos 2x=-\sqrt[]{2} \\ \cos 2x=-\frac{\sqrt[]{2}}{2} \end{gathered}

cos2x is negative square root 2 divided by 2 in the second and third quadrants, so it follows:

\begin{gathered} \cos 2x=\cos \theta \\ 2x=2n\pi\pm\theta \end{gathered}

Here theta is given by:

\theta=\pi-\frac{\pi}{4}=\frac{3\pi}{4},\theta=\pi+\frac{\pi}{4}=\frac{5\pi}{4}

So the solution is given by:

\begin{gathered} 2x=2n\pi\pm\frac{3\pi}{4};2x=2n\pi\pm\frac{5\pi}{4} \\ x=n\pi\pm\frac{3\pi}{8};x=n\pi\pm\frac{5\pi}{8} \end{gathered}

You might be interested in
2. Which diagram shows a point P an equal distance from points A, B, and C?H
amm1812

Answer:

The correct option is (a).

Step-by-step explanation:

The vertices are equidistant from the circumcenter.

Circumcenter of a triangle is a point where the perpendicular bisectors are intersection each other.

In figure (a) the point P is the intersection point of all perpendicular bisector, therefore point P is the circumcenter of triangle ABC and the point P is equidistant from A,B and C.

Therefore option (a) is correct.

In figure (b) the point P is the intersection point of all perpendicular, therefore point P is not the circumcenter of triangle ABC.

Therefore option (b) is incorrect.

In figure (c) the point P is the intersection point of all bisectors, therefore point P is not the circumcenter of triangle ABC.

Therefore option (c) is incorrect.

In figure (d) the point P is the intersection point of all medians, therefore point P is not the circumcenter of triangle ABC.

Therefore option (d) is incorrect.

4 0
3 years ago
Read 2 more answers
. 6x - 5x + x - 3 + 2x
Serjik [45]

Answer:4x

Step-by-step explanation:6x - 5x = 1x + x = 2x + 2x = 4x

7 0
4 years ago
Read 2 more answers
- (4W + 6k)<br> Your answer
Oksi-84 [34.3K]

Answer:

-4W-6k would be the answer

6 0
4 years ago
Large balloons are sold in packages of 12 Select the expressions that can represent the total number of balloons in p packages o
german

Answer:

The answer is B and E

Step-by-step explanation:

pls give Brainliest

6 0
3 years ago
Students in the fifth-grade class bought 28 yards of fabric to make pennants for a pep rally.
Ilya [14]

Answer:

49

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • If the ratio of boys to girls at the school is 2:5, and there are 40 boys, how many girls are there?
    9·1 answer
  • One of the interior angles of a triangle is equal to 30°, and one of the exterior angles is equal to 40°. Find the remaining int
    14·2 answers
  • Divided a number by -35
    6·1 answer
  • What is Pythagoras Theorem ?
    8·2 answers
  • 3750 for 12 years at 6.5% compounded daily
    12·1 answer
  • 17) Given f(x) = 2x + 4, if the output is 12, what is the input? (Solve for x)
    15·1 answer
  • Find the value of the variable.<br> 8<br> 4<br> 6<br> y =
    8·2 answers
  • The elements least likely to form bonds are found in which group? 15, 16, 17, 18
    9·1 answer
  • 4x-y= -2<br> 2х + Зу = 13
    12·2 answers
  • What is the equation of the line that passes through the point (- 1, - 5) and has a slope of -1
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!