102 results for "sine".
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Question in Toby's workspace
Plot the Fourier series coefficients for a piece-wise linear function. Write a Python script to reproduce the same figure.
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Question in How-tos
Shows how to use JSXGraph to make a sine graph with amplitude, frequency and phase controlled by sliders.
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Question in Engineering Statics
Two dimensional particle equilibrium problem. Advice shows how to use how to use slope triangles to find sines and cosines, rather than finding the angle and using that.
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Question in Foundation Maths
This uses an embedded Geogebra graph of a sine curve $y=a\sin (bx+c)+d$ with random coefficients set by NUMBAS.
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Exam (3 questions) in Engineering Statics
Homework Set. Three problems to brush up on trig skills. Right triangles and sine and cosine law.
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Question in Engineering Statics
Solve a random oblique triangle for sides and angles.
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Question in Ugur's workspace
power series expansions for sine
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Question in Foundation Maths
This uses an embedded Geogebra graph of a sine curve $y=a\sin (bx+c)+d$ with random coefficients set by NUMBAS.
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Question in MASH Bath: Question Bank
Calculating the missing side-length of a triangle using the cosine rule.
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Question in MASH Bath: Question Bank
Given two angles and a side-length of a triangle, use the sine rule to calculate an unknown side-length.
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Question in Standard Maths
Students are given a diagram with 2 triangles. They are given 2 randomised lengths, and a randomised angle of depression.
They need to compute an angle by subtracting the angle of depression from 90°. Then they need to use the sine rule to calculate a second angle. Then they need to use the alternate angles on parallel lines theorem to work out a third angle. They use these to calculate a third angle, which they use in the right-angle triangle with the sine ratio to compute the third side. They then use the cos ratio to compute the length of the third side.
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Question in Standard Maths
Student is given a triangle with the value of 2 sides and 1 or 2 angles and asked to find the value of the third side using the cosine rule. Triangle can be acute or obtuse.
Side and angle lengths are randomised. Units are randomised.
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Question in Standard Maths
Student is given a triangle with the value of 1 side and 2 or 3 angles and asked to find the value of another side. Triangle can be acute or obtuse.
Side and angle lengths are randomised. Units are randomised.
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Question in Standard Maths
Student is given a triangle with 2 or 3 side lengths given and asked to use the sine rule to find the value of an angle. Triangle can be acute or obtuse.
Side and angle lengths are randomised. Units are randomised.
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Question in Martin's workspace
Solve a trigonometric equation involving a conversion to tangent by division by cosine.
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Question in MASH Bath: Question Bank
Given two side-lengths and an angle of a triangle, use the sine rule to calculate an unknown angle.
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Question in MASH Bath: Question Bank
Calculating the area enclosed between a cosine function and a quadratic function by integration. The limits (points of intersection) are given in the question.
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Question in Content created by Newcastle University
Two questions testing the application of the Sine Rule when given two angles and a side. In this question, the triangle is always acute.
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Question in Content created by Newcastle University
A question testing the application of the Cosine Rule when given two sides and an angle. In this question, the triangle is always obtuse and both of the given side lengths are adjacent to the given angle (which is the obtuse angle).
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Question in Content created by Newcastle University
Two questions testing the application of the Cosine Rule when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.
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Question in Glasgow Numbas Question Pool
Calculate the distance between two points along the surface of a sphere using the cosine rule of spherical trigonometry. Context is two places on the surface of the Earth, using latitude and longitude.
The question is randomised so that the numerical values for Latitude for A and B will be positive and different (10-25 and 40-70 degrees). As will the values for Longitude (5-25 and 50-75). The question statement specifies both points are North in latitude, but one East and one West longitude, This means that students need to deal with angles across the prime meridian, but not the equator.
Students first calculate the side of the spherical triangle in degrees, then in part b they convert the degrees to kilometers. Part a will be marked as correct if in the range true answer +-1degree, as long as the answer is given to 4 decimal places. This allows for students to make the mistake of rounding too much during the calculation steps.
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Question in .Trigonometry
This uses an embedded Geogebra graph of a sine curve $y=a\sin (bx+c)+d$ with random coefficients set by NUMBAS.
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Question in .TrigonometrySOHCAHTOA example
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Question in Assessment Exercises
Four sinusoidal graphs are given. Student should select the one which is sine and cosine.
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Question in Assessment Exercises
Four sinusoidal graphs are given. Student should select the one which is sine and cosine.
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Exam (3 questions) in .Statistics
A resource for Business students to practise calculating Normal probabilities and finding $Z$-values.
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Exam (5 questions) in Bill's workspace
5 questions on confidence intervals and hypothesis testing. Population variance given, z-test. Not given, t-test.
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Question in DIAGNOSYS
No description given
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Question in DIAGNOSYS
No description given
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Question in DIAGNOSYS
No description given