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
alukav5142 [94]
3 years ago
12

If tan 0=1/3 find cot 0.

Mathematics
1 answer:
Karolina [17]3 years ago
8 0

Answer: cot 0 = 3

Cotangent is the reciprocal of tangent, so it would be 3/1, which simplified to 3.

You might be interested in
Can someone please explain how to get the answer I've watched multiple videos on implicit derivatives and I still cant figure it
Arisa [49]

We're given the implicit equation

x² + 2x + y² - 4y = 12

where "implicit" means that one of the variables is considered a function of the other. In this case, the variable y = y(x) depends on the value of the variable x - in other words, the possible values of y are implied by the value of x. We then say that this equation defines y as an implicit function of x.

We're also given the implicit derivative,

dy/dx = (-2x - 2)/(2y - 4)

which tells us the rate of change y as a function of both x and y. The value of dy/dx corresponds to the slope of the tangent line to the curve defined by the implicit equation above at some point (x, y).

The tangent line is horizontal when its slope is zero. This happens when

(-2x - 2)/(2y - 4) = 0

If y ≠ 2, then we can eliminate the denominator and we're left with

-2x - 2 = 0

Solve for x :

-2x = 2

x = -1

This tells us that the points on the curve with x-coordinate -1 have a tangent line to the curve that is horizontal.

The tangent line is vertical when its slope is undefined/infinite, or equivalently when the denominator of dy/dx is zero:

2y - 4 = 0

Solve for y :

2y = 4

y = 2

So any point on the curve with y-coordinate 2 will have a tangent line there that is vertical.

By completing the square in the implicit equation, we can easily identify where these points are located.

x² + 2x + y² - 4y = 12

x² + 2x + 1 + y² - 4y + 4 = 17

(x + 1)² + (y - 2)² = 17

This equation defines a circle centered at (-1, 2) with radius √17. When x = -1, we have

(y - 2)² = 17   ⇒   y = 2 ± √17

and when y = 2, we have

(x + 1)² = 17   ⇒   x = -1 ± √17

See the attached plot to see the circle and the tangents at these points.

7 0
2 years ago
Help help help pls pls
olganol [36]

Answer:

see explanation

Step-by-step explanation:

Under a clockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

(3, 3 ) → (- 3, 3 )

(3, 4 ) → (- 4, 3 )

(5, 3 ) → (- 3, 5 )

4 0
3 years ago
Which ordered pair is a solution to the system?
almond37 [142]

Answer:

I think it is C 8,-4

Step-by-step explanation:

I think

8 0
3 years ago
-8.58 / ___ = 3.9<br><br> Please give an explanation for the solution.
katrin2010 [14]

Answer:

<em>x</em> = -33.462

Step-by-step explanation:

-8.58/<em>x</em> = 3.9

<em>x</em> = 3.9 x -8.58

<em>x</em> = -33.462

3 0
2 years ago
Read 2 more answers
The isosceles triangle shown is rotated about line k. The perimeter of the triangle is 58 units.Which best describes the resulti
charle [14.2K]
A cone with a  Base radius of 17 units. 

8 0
3 years ago
Other questions:
  • I need ANSWERS for 13-14 please
    13·1 answer
  • What is the only natural lake in Texas?
    5·2 answers
  • Assume z = x + iy, then find a complex number z satisfying the given equation. d. 2z8 – 2z4 + 1 = 0
    9·1 answer
  • Tom is sorting cookies with his little sister Betty. He notices that when he takes a cookie she takes three cookies, when he tak
    10·2 answers
  • Solve for x:
    12·1 answer
  • Find the solution to the system of equations.
    14·1 answer
  • 1. What is the last step in constructing an angle?<br> Help please<br> For 30 points!!!
    15·1 answer
  • Which graph represents y as a function of x?
    6·1 answer
  • Two families went to the event. The first family bought two children's tickets and one adult ticket and paid a total of 8.2 euro
    7·1 answer
  • How many points need to be removed from this graph so it will be a function?​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!