Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 5θ
Asked by maham237 @ in Mathematics viewed by 399 People
r = 2 cos 5θ How do we know? Can you share the explanation/steps?
Answered by maham237 @
Answer:
It is symmetric about x- axis
The graph is not symmetric along the y - axis
It is not symmetric about the origin
Step-by-step explanation:
We can easily know the solution to your problem by graphing the equation
r(θ) = 2*cos (5*θ)
Please, see attached image
The graph is symmetric about the x axis if
r(θ) = r(-θ)
r(θ) = 2*cos (5*θ) = 2*cos (-5*θ) = r(-θ)
Since the cosine is an even function.
It is symmetric about x- axis
The graph is not symmetric along the y - axis, because
r(θ) ≠ r(π-θ)
It is symmetric about the origin if
r(θ) = r(π+θ)
But, since,
r(θ) = 2*cos (5*θ) ≠ 2*cos (5*(θ+π)) = 2*cos (5*θ+5*π)
It is not symmetric about the origin
Similar Questions
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 3 - 4 sin θ
Asked by maham237 @ in Mathematics viewed by 441 persons
Origin only
x-axis only
y-axis only
No symmetry
Which represents the reflection of f(x) = over the y-axis?
Asked by maham237 @ in Mathematics viewed by 347 persons
Which equation has a graph that lies entirely above the x-axis?
Asked by maham237 @ in Mathematics viewed by 525 persons
Oy= -(x + 7)2 + 7
O y=(x-77²-7
y = (x – 7)2 + 7
y = (x – 7)
Which graph has a negative rate of change for the interval 0 to 2 on the x-axis?
Asked by maham237 @ in Mathematics viewed by 367 persons
Which represents the reflection of f(x) = \sqrt{x} over the y-axis?
Asked by maham237 @ in Mathematics viewed by 465 persons
A proton moves along the x-axis with vx=1.0×107m/s.
Asked by maham237 @ in Mathematics viewed by 523 persons
A proton moves along the x-axis with vx=1.0×107 m/s. As it passes the origin, what are the strength and direction of the magnetic field at the (x, y, z) positions …
Which represents the reflection of f(x) = over the x-axis?
Asked by maham237 @ in Mathematics viewed by 427 persons
The point (4, 3) is reflected across the x-axis. in what quadrant will the new coordinate be?
Asked by maham237 @ in Mathematics viewed by 414 persons
Y cos x 2
Asked by maham237 @ in Mathematics viewed by 312 persons
Implicit differentiation: ycosx=x^2+y^2
Derivative of both sides:
=((y)(-sinx)+(cosx)(dy/dx)=2x+2y(dy/dx)
=(-ysinx+cosx(dy/dx)=2x+2y(dy/dx)
=cosx(dy/dx) - 2y(dy/dx) = ysinx+2x
=(cosx-2y)dy/dx = ysinx+2x
=dy/dx = (ysinx+2x)/(cosx-2y)
The graph of y=x^2 is shown below
Asked by maham237 @ in Mathematics viewed by 328 persons
The graph of y=x^2 is shown below. which of the following could be the graph of y=x^2-3
first pic is original graph, next are options A, B, C, and D
X = sin 1 2 θ , y = cos 1 2 θ , −π ≤ θ ≤ π
Asked by maham237 @ in Mathematics viewed by 332 persons
X = sin 1/2θ, y = cos 1/2θ, −π ≤ θ ≤ π(a) eliminate the parameter to find a cartesian equation of the curve.
Let g(x) be the reflection of f(x) = x 2 + 3 in the x-axis. what is the function rule for g(x)?
Asked by maham237 @ in Mathematics viewed by 361 persons
Let g(x) be the reflection of f(x) = x 2 + 3 in the x-axis. What is the function rule for g(x)? A. g(x) = -x 2 - 3 B. …
Which graph represents the function y=3x^2+12x-6
Asked by maham237 @ in Mathematics viewed by 392 persons
Which graph matches the equation y 3 2 x 3
Asked by maham237 @ in Mathematics viewed by 577 persons
Which graph matches the equation y+3=2(x+3)?
Which shows the graph of the solution set of y < x – 2?
Asked by maham237 @ in Mathematics viewed by 313 persons
Which shows the graph of the solution set of y < x – 2?
Most viewed questions in Mathematics
Unit 6 similar triangles homework 2 similar figures answer key
Asked by maham237 @ in Mathematics viewed by 18341 persons
All things algebra unit 7 polygons and quadrilaterals answer key
Asked by admin @ in Mathematics viewed by 8139 persons
Gina wilson all things algebra 2016 answer key unit 11
Asked by admin @ in Mathematics viewed by 5764 persons
Unit 1 geometry basics homework 4 angle addition postulate answers
Asked by maham237 @ in Mathematics viewed by 3929 persons
Unit 6 exponents and exponential functions homework 8 answer key
Asked by maham237 @ in Mathematics viewed by 3246 persons
The manager of a vacation resort believes that the ages
Asked by maham237 @ in Mathematics viewed by 2918 persons
What is 271 403 rounded to the nearest ten thousand
Asked by maham237 @ in Mathematics viewed by 2779 persons
Unit 1 geometry basics homework 3 angle relationships answer key
Asked by maham237 @ in Mathematics viewed by 2572 persons
Why would a prism beat a sphere in a competition?
Asked by maham237 @ in Mathematics viewed by 2473 persons
An artist sells a painting for 20.50 but uses 5.75
Asked by maham237 @ in Mathematics viewed by 2423 persons
Unit 4 congruent triangles homework 1 classifying triangles answer key
Asked by maham237 @ in Mathematics viewed by 2413 persons
Unit 4 congruent triangles homework 2 angles of triangles
Asked by maham237 @ in Mathematics viewed by 2068 persons
Compare the values of the 2s and 5s in 55220
Asked by maham237 @ in Mathematics viewed by 1788 persons