Help Determining (Dis)Continuity of a Trig Function

  • Thread starter Thread starter vitaly
  • Start date Start date
  • Tags Tags
    Function Trig
AI Thread Summary
Determining the continuity of trigonometric functions involves understanding their definitions and relationships. The sine and cosine functions are continuous everywhere. Other trigonometric functions, like tangent, are derived from sine and cosine, which means they can be discontinuous at points where their denominators equal zero. For example, tangent is discontinuous at odd multiples of π/2 due to the cosine function being zero at those points. Analyzing the continuity of the six basic trig functions can be done by examining their definitions and identifying points of discontinuity.
vitaly
Messages
48
Reaction score
0
I'm having problems finding whether or not a trig function is discontinuous or continuous. Besides graphing, I don't understand how you can tell. How do you know if a trig function is continuous or not, for the 6 basic functions?
 
Physics news on Phys.org
You know that sin(x) and cos(x) are continuous, right? Well, the other trig functions are just made from sines and cosines. For example tan(x) is just sin(x) over cos(x). So tan(x) is going to be discontinuous whenever its denominator is zero. You can similarly analyze the other trig functions.
 
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »
Thread 'Correct statement about a reservoir with an outlet pipe'

Thread 'Correct statement about a reservoir with an outlet pipe'

The answer to this question is statements (ii) and (iv) are correct. (i) This is FALSE because the speed of water in the tap is greater than speed at the water surface (ii) I don't even understand this statement. What does the "seal" part have to do with water flowing out? Won't the water still flow out through the tap until the tank is empty whether the reservoir is sealed or not? (iii) In my opinion, this statement would be correct. Increasing the gravitational potential energy of the...
View full post »

Similar threads

How to Determine Correct Inverse Trig Angle?
Replies
2
Views
932
Wave interference, "beats" problem
Replies
19
Views
1K
Equation for an oscillating spring (w/ demping)
Replies
25
Views
2K
Calculating Uncertainty for a Chain of Trig Functions
Replies
3
Views
4K
Can Geometry Alone Provide an Accurate Estimation of Pi?
Replies
1
Views
432
Determining mass of a weight on a three spring scale setup
Replies
14
Views
4K
Graphing the Superposition of Two Standing Waves
Replies
8
Views
2K
High School Level Physics Homework
Replies
1
Views
2K
Studying Reading "How to Prove It" right before taking Calculus I -- Question
Replies
9
Views
3K
Previous university exam problem on refraction (that I think is wrong)
Replies
14
Views
4K

Hot Threads

Recent Insights

Back
Top