How to Find Cosine of Pi Using the 360 Circle and Quadrants?

  • Context: High School 
  • Thread starter Thread starter afcwestwarrior
  • Start date Start date
Click For Summary
SUMMARY

The cosine of pi is definitively -1, as established in the discussion. It is crucial to understand that pi radians correspond to 180 degrees, not 90 degrees. The relationship between degrees and radians is fundamental, with a full circle measuring 360 degrees or 2pi radians. This understanding is essential for accurately interpreting trigonometric functions within the context of the unit circle.

PREREQUISITES
  • Understanding of radians and degrees conversion
  • Familiarity with the unit circle concept
  • Basic knowledge of trigonometric functions
  • Awareness of the relationship between circumference and diameter in circles
NEXT STEPS
  • Study the unit circle and its significance in trigonometry
  • Learn about the properties of trigonometric functions at key angles
  • Explore the relationship between radians and degrees in more depth
  • Investigate the derivation of the circumference formula: C = pi * d
USEFUL FOR

Students of mathematics, educators teaching trigonometry, and anyone seeking to clarify the relationship between radians and degrees in trigonometric contexts.

afcwestwarrior
Messages
453
Reaction score
0
cos pi= -1
using the 360 circle ir those quadrants
i forgot what it was, link
 
Physics news on Phys.org
afcwestwarrior said:
cos pi= -1
using the 360 circle ir those quadrants
i forgot what it was, link

First of all "pi" is NOT "90". Get that out of your head! Nor does "pi radians" correspond to "90 degrees" if that was what you meant. "pi radians" corresponds to "180 degrees", half a circle. The crucial thing you need to remember is that a full circle is 360 degrees, 2pi radians. Perhaps it would help to remember that a circle has circumference pi*d= 2pi *r. That's where the "2pi" comes from.
 

Similar threads

High School Question about the limits of integration in a change of variables
  • · Replies 2 ·
Replies
2
Views
3K
High School Question about change of variables
  • · Replies 29 ·
Replies
29
Views
5K
Double Integral of function in region bounded by two circles
  • · Replies 19 ·
Replies
19
Views
3K
High School Trigonometric substitution, a case I'd like to share
  • · Replies 3 ·
Replies
3
Views
4K
High School Having trouble deriving the volume of an elliptical ring toroid
  • · Replies 4 ·
Replies
4
Views
4K
Undergrad Is 360° Really the Correct Measurement for a Full Angle?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Finding the Area of a Disc with Integration Methods
  • · Replies 6 ·
Replies
6
Views
3K
High School Graphing arccosine: What if we use different domains?
  • · Replies 7 ·
Replies
7
Views
2K
High School Generating the formula for the coefficients of an alternating series
  • · Replies 17 ·
Replies
17
Views
5K
Undergrad Rindler Coordinates & Quadrants: Resolving an Issue
  • · Replies 4 ·
Replies
4
Views
1K