Convert 75 Degrees to Radian Measure - 5/12 pi

  • Thread starter Thread starter fatima_a
  • Start date Start date
  • Tags Tags
    Degrees Radians
AI Thread Summary
To convert 75 degrees to radians, the formula used is degrees multiplied by π/180. This results in 75π/180, which simplifies to 5/12π. The discussion emphasizes leaving the answer in terms of π instead of calculating a decimal approximation. It is advised to avoid evaluating π unless necessary for practical applications. The correct notation for the radian measure of 75 degrees is thus 5/12π.
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.
 

Thread 'Finding the number of ways to arrange identical balls in a circle (3 different colors)'

I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
View full post »

Thread 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
View full post »

Similar threads

Why Should You Learn to Think in Radians for Trigonometry?
Replies
15
Views
5K
Can Geometry Alone Provide an Accurate Estimation of Pi?
Replies
1
Views
414
Converting degrees to radians (in relation to pie)
Replies
5
Views
22K
What Are the Radian Measures of the Supplement and Complement of Pi/8?
Replies
2
Views
3K
MHB How can you express an angle in radians without using pi/180°?
Replies
4
Views
2K
Find the phase difference (in radians)
Replies
8
Views
3K
How to analyze AC using radians and degrees
Replies
7
Views
5K
Algebra II Trigonometry Circular Functions
Replies
4
Views
2K
Confusion about the "now-you-see-me-now-you-don't" radian
Replies
8
Views
2K
I Dimension of an Angle: Clarifying the SI Standard
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top