Physics (Calc Based)

posted by .

I understand how to solve this problem ,however cannot figure out why the .5 degrees is being converted to radians:

PROBLEM:

How would one determine the percent uncertainty in theta and in sin of theta for the following:

1) theta = 15.0 degrees +/- 0.5 degrees

SOLUTION:

f(θ) = sin(θ)
f'(θ) = cos(θ)
For θ = 15°
d(cos(θ))
= ±cos(θ) dθ
= ±cos(15°) (0.5°)
= ±0.9659*(0.5*π/180) <---- Why is .5 degrees converted to radians?
= ±0.00843

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. related rates with work shown

    this is a relate rates problem in calculus in a right triangle, the hypotenuse is 5 and the vertical side is x and the angle is theta. so if theta increases at a constant rate of 3 radians per minute, at what rate is x increasing in …
  2. physics pre-lab

    By trial and error with your calculator, find the angle theta for which sin theta and theta differ by 5%. This calculation must be done in radians. When you have found theta, express it in degrees. plzzz help thanx
  3. Trigonometry

    I don't understand how I'm supposed set the problem up or what theta is... Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. sec theta …
  4. Physics

    How would one determine the percent uncertainty in theta and in sin of theta for the following: 1) theta = 15.0 degrees +/- 0.5 degrees 2) theta = 75.0 degrees +/- 0.5 degrees I'm not sure whether I divide or use some kind of formula.
  5. Precalculs

    I have no idea how to do these type of problems. -------Problem-------- Solve each equation on the interval 0 less than or equal to theta less than 2 pi 42. SQRT(3) sin theta + cos theta = 1 ---------------------- There is an example …
  6. Algebra II

    Multiple Choice (theta) means the symbol 0 with the dash in it. 1.)Which expression is equivalent to tan(theta)-(sec(theta))/(sin(theta))?
  7. Calc

    Calculate the exact values of sin(theta) cos(theta) and tan (theta) when theta=240 degrees. How would I do this with and without a calculator?
  8. Precalculus 2

    Similiarly to a question I asked previously I took the same approach. the problem is: what value(s) of theta solve the following equation?
  9. Physics

    I calculated tan and sin (theta) for a physics lab experiment -- two-slit interference I had to use this equation y = L tan (theta), with y = 0.25 and L = 2 and tan (theta) came out to be 7.12 in degrees and 0.1243 in radians. I found …
  10. Math - Trigonometry

    For how many values of theta such that 0<theta<360 do we have cos theta = 0.1?

More Similar Questions