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.

  1. 👍
  2. 👎
  3. 👁
  1. 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)
    = ±0.00843

    Problem #2 can be calculated similarly.

    1. 👍
    2. 👎
  2. I don't see "percentage uncertainty" in this answer. It looks to be just the uncertainty.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Trigonometry

    State the quadrant in which theta lies. sin(theta) > 0 and cos(theta) > 0 How can I determine this? Please explain.

  2. Math

    1. Let (-7, 4) be a point on the terminal side of (theta). Find the exact values of sin(theta), csc(theta), and cot(theta). 2. Let (theta) be an angle in quadrant IV such that sin(theta)=-2/5. Find the exact values of sec(theta)

  3. Math

    Let (7,-3) be a point on the terminal side of theta. Find the exact values of sin of theta, csc of theta and cot of theta?

  4. trig

    If sin theta is equal to 5/13 and theta is an angle in quadrant II find the value of cos theta, sec theta, tan theta, csc theta, cot theta.

  1. Math

    if tan theta = 3/4 and 180 degrees ≤ 0 ≤ 270 degrees determine with the aid of a complete sketch 1. sin theta 2. cos(180 +theta) 3. angle theta

  2. Trigonometrt

    Express in functions of theta: a. sin ( 810- theta) b. cot ( theta - 360) c cos (-180- theta)

  3. Calculus

    Which one or ones of the following integrals produces the area that lies inside the circle r = 3 sin θ and outside the cardioid r = 1 + sin θ? (10 points) I. 1/2 the integral from pi/6 to 5pi/6 of 9*sin^2 theta minus (1 + sin

  4. physics

    A ball is attached to a string with length of L. It swings in a horizontal circle, with a constant speed. The string makes an angle (theta) with the vertical, and T is the magnitude of the tension in the string. 1)Determine the

  1. Precalculus

    Circle O below has radius 1. Eight segment lengths are labeled with lowercase letters. Six of these equal a trigonometric function of theta. Your answer to this problem should be a six letter sequence whose letters represent the

  2. Precalculus check answers help!

    1.) Find an expression equivalent to sec theta sin theta cot theta csc theta. tan theta csc theta sec theta ~ sin theta 2.) Find an expression equivalent to cos theta/sin theta . tan theta cot theta ~ sec theta csc theta 3.)

  3. math (trig)

    if cos 2 theta = -(1/3) and theta is in Quadrant 2, find sin theta, cos theta, tan theta, and draw triangle theta

  4. Math Trig

    Let theta be an angle in quad III such that sec theta = -13/5. Find the exact values of cot theta and sin theta? Thank you!!!

You can view more similar questions or ask a new question.