383 results for "cos".
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Question in HELM books
Characterise the cosh function as continuous, many-to-one, even, and find the limit as x approaches 1. Part of HELM book 2.4.3.
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Question in MfEP Progress Quizzes
Question about use of trig identities, student has to use identities to find exact value of \(\cos \frac{7\pi}{12}\). Question is used in exam where student has to write out the solution and upload it for grading.
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Question in MfEP Progress Quizzes
Question requires students to determine if the smallest angle of a triangle is smaller than a given value. Answer is Yes/No but students need to use cosine rule to find the smallest angle and to know that smallest angle is oppositeshortest side (otherwise they will need to find all angles of the triangle). Designed for a test where students upload handwritten working for each question as a check against guessing. Also designed to make it difficult for students to google or use AI to find the answer.
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Question in MfEP Progress Quizzes
Question requires students to determine if the largest angle of a triangle is smaller than a given value. Answer is Yes/No but students need to use cosine rule to find the largest angle and to know that largest angle is opposite longest side (otherwise they will need to find all angles of the triangle). Designed for a test where students upload handwritten working for each question as a check against guessing. Also designed to make it difficult for students to google or use AI to find the answer.
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Question in MfEP Progress Quizzes
Students are given lengths of 3 sides of a triangle (all randomised) and asked to find one of the angles in degrees. Requires use of the cosine rule.
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Question in MASH Bath: Question Bank
Using given information to complete the equation $c= A \cos{ \left( \frac{2 \pi}{P} \left( t-H \right) \right) }+V $ that describes the concentration, $c$, of perscribed drug in a patient's drug over time, $t$. Calculating the maximum concentration and the concentration at a specific time.
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Question in Skills Audits for Maths and Stats
Rewriting a trigonometric expression of the form $A\cos(\theta)\pm B\sin(\theta)$ to either $R\sin(\theta+\alpha)$ or $R\cos(\theta+\alpha)$ by calculating $R$ and $\alpha$.
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Question in Skills Audits for Maths and Stats
Rewriting a trigonometric expression of the form $A\sin(\theta)-B\cos(\theta)$ to $R\sin(\theta-\alpha)$ by calculating $R$ and $\alpha$.
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Question in Skills Audits for Maths and Stats
Match the graphs to the functions. No randomisation. Multiple choice.
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Question in Skills Audits for Maths and Stats
Calculating the integral of a function of the form $ax^2 \cos(bx)$ using integration by parts.
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Question in Skills Audits for Maths and Stats
Using the various versions of $\cos{2x}$ identity to integrate $\sin^2{x}$ and $\cos^2{x}$.
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Question in Skills Audits for Maths and Stats
Find the derivative of a function of the form $y=a \cos(bx+c)$ using a table of derivatives.
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Question in Skills Audits for Maths and Stats
Match the relevant graph (sin, cos, tan) with its equation.
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Question in Skills Audits for Maths and Stats
Calculate the change from a note given two costs.
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Question in Numbas Tut
Calculate the heat losses from a model building based on the U values, dimensions and other parameters specified. In addition calculate the annual running costs and payback period for improvements to the building Fabric.
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Question in MESH
Given a graph of the form either a.cos(bx) or a.sin(bx), identify the amplitude and period.
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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 Graphs and series
Find multiple solutions of cos
Working 26_10_16
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Question in Graphs and series
Given the original formula the student enters the transformed formula
Working 26_10_16
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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 Odds and Ends
Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students calculate the cost of the halogen globes given electricity cost, number of globes, number of years, replacement cost and lifespan of globes. Some of these variables are randomly selected. There are more than 10 different versions of this question.
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Question in Ugur's workspace
Taylor Approximation ofr $\cos(2x)$
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Question in Trigonometry
testing sin, cos, tan of angles that are negative or greater than 2pi radians that result in nice exact values.
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Question in Trigonometry
Use $\cos^2\theta+\sin^2\theta=1$ and/or an understanding on the unit circle definitions to determine $\cos\theta$ given $\sin\theta$ and the quadrant theta is in.
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Question in Trigonometry
Use $\cos^2\theta+\sin^2\theta=1$ and/or an understanding on the unit circle definitions to determine $\sin\theta$ given $\cos\theta$ and the quadrant theta is in.
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Exam (17 questions) in MATH7025
Differentiation of polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.
rebelmaths
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Question in MASH Bath: Question Bank
Solving $\cos(nx)=a$ for $x\in (0,\pi)$, where $n$ is an integer and $a\in(0,1)$.
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Question in Musa's workspace
$x$ is given and (sin(x),cos(x)) is plotted on a unit circle. Then the student is asked to determine sin(y) and cos(y), where y is closely related to x (e.g. y=-x, y=180+x, etc.) Also find values and sign of cos/tan/sin(x).
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Question in Demos
Given a data sheet with distances between cities and costs for different forms of transport, and some information about modes of transport used, fill in a form for a journey.