A Probelem with sketching circular functions

  • Thread starter Thread starter noneedtocare
  • Start date Start date
  • Tags Tags
    Circular Functions
Click For Summary
SUMMARY

This discussion focuses on the steps involved in sketching the graphs of the sine, cosine, tangent functions, and their respective inverse functions: arcsine, arccosine, and arctangent. The process involves selecting specific x-values such as 0, ±π/4, ±π/2, and 3π/4, calculating the corresponding y-values, and plotting these points. A smooth curve is then drawn through the plotted points for each function. For the inverse functions, the (x,y) pairs are reversed before sketching.

PREREQUISITES
  • Understanding of trigonometric functions: sine, cosine, tangent
  • Knowledge of inverse trigonometric functions: arcsine, arccosine, arctangent
  • Familiarity with plotting points on a Cartesian coordinate system
  • Basic skills in curve sketching techniques
NEXT STEPS
  • Learn how to calculate and interpret the unit circle for trigonometric functions
  • Explore the properties and transformations of sine, cosine, and tangent functions
  • Study the domain and range of inverse trigonometric functions
  • Practice sketching graphs of trigonometric and inverse trigonometric functions using software tools like Desmos or GeoGebra
USEFUL FOR

Students, educators, and anyone interested in mastering trigonometric functions and their graphs will benefit from this discussion.

noneedtocare
Messages
9
Reaction score
0
Can anyone please explain to me steps involved in sketching sin , cos , tan and their inverse function ?
Thanks a lot
 
Physics news on Phys.org
I assume you mean graphing y= sin(x), y= cos(x), y= tan(x) and the graphs of the inverse functions, y= arcsin(x), y= arccos(x), y= arctan(x).

Pick a number of values for x, say, x= 0, [itex]\pm \pi/4[/itex], [itex]\pm \pi/2[/itex],[itex]3\pi/4[/itex], etc. Calculate the corresponding y values, sin(0), cos(0), tan(0), etc. and mark the points [itex](0, sin(0))[/itex], [itex](\pi/4, sin(\pi/4)[/itex], etc. then draw a smooth curve through those points to graph y= sin(x) and do the corresponding thing for y= cos(x) and y= tan(x). For the inverse functions, reverse the (x,y) pairs, mark those points and then draw a smooth curve through those.
 

Similar threads

  • · Replies 40 ·
2
Replies
40
Views
5K
  • · Replies 5 ·
Replies
5
Views
1K
Replies
8
Views
2K
Replies
8
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
3
Views
1K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 8 ·
Replies
8
Views
1K