Convert 75 Degrees to Radian Measure - 5/12 pi

  • Thread starter Thread starter fatima_a
  • Start date Start date
  • Tags Tags
    Degrees Radians
Click For Summary
SUMMARY

The conversion of 75 degrees to radian measure results in the exact value of 5/12 π. To achieve this, one must multiply 75 degrees by π/180, simplifying the expression to retain π in its fractional form. Evaluating π numerically is unnecessary unless for physical applications, as emphasized by Bohrok's advice. This method ensures clarity and precision in mathematical expressions.

PREREQUISITES
  • Understanding of basic trigonometric functions
  • Familiarity with radians and degrees
  • Knowledge of fraction simplification
  • Calculator operation for angle mode settings
NEXT STEPS
  • Learn the process of converting between degrees and radians
  • Study the properties of π in mathematical expressions
  • Explore the significance of exact values versus decimal approximations in mathematics
  • Investigate the use of calculators for trigonometric functions in different modes
USEFUL FOR

Students studying trigonometry, educators teaching angle conversions, and anyone interested in precise mathematical notation and calculations.

fatima_a
Messages
21
Reaction score
0
convert 75 degrees to radian measure

the answer is 5/12 pi

i know that for converting degrees to radians you multiply the degrees by pi/180 degrees and when i do it i get the answer 1.3089... but how do you get the answer as above, in that form? i have changed the mode of my calculator from degrees to radians and vice versa but i can't get the answer in that notation.
 
Physics news on Phys.org


Reduce 75\pi/180 and leave it in terms of pi; don't put it in the calculator.
 
Last edited by a moderator:


Following Bohrok's advice, you basically never evaluate \pi unless you are doing some sort of physical application where it's nice to have the approximate solution.
 

Similar threads

  • · Replies 15 ·
Replies
15
Views
5K
  • · Replies 5 ·
Replies
5
Views
22K
Replies
2
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K