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  1. Problems
  2. /Python for Science and Maths
  3. /Trigonometry and Waves by Computer

Trigonometry and Waves by Computer

Python Programming
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More in Python for Science and MathsNumPy ArraysGraphs with matplotlibSolving EquationsCalculus by ComputerSimulation and RandomnessData Analysis with pandasChemistry by ComputerBiology by ComputerTrigonometry and Waves by Computer
21 problems
Exam:
Type:
1.
A fit with curve_fit gives an amplitude of 0.80 m… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Medium
2.
Dev records a 14 Hz hum at 20 readings each second… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Hard
3.
A vibration sensor reads every 0.01 s for 2.0 s, which is 200 readings… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Medium
4.
Two equal waves of amplitude 0.40 m run along a rope… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Easy
5.
The five odd harmonics 1, 3, 5, 7 and 9 of a square wave add up, at the middle of a flat top, to… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Medium
6.
A string 0.90 m long is fixed at both ends and vibrates in its third harmonic… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Medium
7.
Two sirens sound together, one at 512 Hz and one at 515 Hz… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Easy
8.
Asha draws a wave of wavelength 2.0 m and frequency 3.0 Hz… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Medium
9.
A wave on a string is y = 0.30 sin(2.0x - 50t), with x in m and t in s… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Medium
10.
A wave on a rope has a wavelength of 1.5 m and a frequency of 4.0 Hz… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Easy
11.
Dev tries the rule sin(a + b) = sin a + sin b with a = 20° and b = 50°… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Easy
12.
Chandra checks 1 + tan² a = 1/(cos² a) on the angles 0°, 15°, 30°, …, 345°… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Medium
13.
A student guesses three formulas for cos 2a: 2 cos² a - 1, 1 - 2 sin² a and 2 cos a… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Medium
14.
Bhavna sets x = np.linspace(0, 360, 721) and plots np.sin(x), meaning to draw one turn in degrees… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Medium
15.
Asha plots tan x for x from 0 to 4π. How many asymptotes does the graph have in that range? … New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Hard
16.
The wave y = 2 sin(x - 0.8) is shifted to the right… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Medium
17.
A program draws the wave y = 4 * np.sin(5 * x) for x from 0 to 2π… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Easy
18.
A point is at an angle of 250° on the unit circle… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Medium
19.
Ajay writes if math.sin(math.pi) == 0: and the program does not take the branch… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Medium
20.
Maya prints the six ratios of the angles 0°, 15°, 30°, …, 90°… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Easy
21.
The minute hand of the clock tower in Rahim's town turns through 150° in 25 minutes… New
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by ComputerStemPy LabStemPy Lab
Easy