382 results for "cos".
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Question in MESH
Choose one from a list to identify the function shown in a graph. The function is a randomly selected sin, cos, or tan graph with random scale factor.
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Question in Content created by Newcastle University
Given a generating matrix for a binary linear code, construct a parity check matrix, list all the codewords, list all the words in a given coset, give coset leaders, calculate syndromes for each coset, correct a codeword with one error.
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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 Trigonometry
testing sin, cos, tan of random(0,90,120,135,150,180,210,225,240,270,300,315,330) degrees but in radians
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Question in Trigonometry
multiple choice testing sin, cos, tan of angles that are negative or greater than 360 degrees that result in nice exact values.
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Question in Trigonometry
multiple choice testing sin, cos, tan of random(0,90,120,135,150,180,210,225,240,270,300,315,330) degrees
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Exam (5 questions) in Trigonometry
Using the unit circle definition of sin, cos and tan, to calculate the exact value of trig functions evaluated at angles that depend on 0, 30, 45, 60 or 90 degrees.
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Question in Trigonometry
Using $\cos^2\theta+\sin^2\theta=1$ to evaluate expressions.
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Question in MASH Bath: Question Bank
Given the total cost, insurance cost, and daily cost of hiring a bicycle, calculate the number of days the bicycle was hired for.
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Question in Standard Maths
Students are asked to find either the initial production cost, or a gradient, or the break even point from a graph.
They are then asked to determine the profit or loss from the graph for the production of a particular number of units. This number is randomised. -
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 3 sides and asked 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 MASH Bath: Question Bank
Using the given information to complete the equation $y= A \cos{ \left( \frac{2 \pi}{P} x \right) }+V $ that describes an electromagnetic wave and calculating the smallest angle, $x$, for which $y=y_0$.
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Question in Transition to university
Given the cost of hiring a room for a given number of hours, compare with competing prices given per hour and per minute.
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Question in Transition to university
Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.
The word problem is about the costs of sweets in a sweet shop.
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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 Ed questions to share
Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression. The word problem is about the costs of sweets in a sweet shop. The quantity of each type of sweet is randomised.
This question was modified from a Newcastle University question.
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Question in David's workspace
Finding the cost including VAT
rebelmaths
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Question in MASH Bath: Question Bank
Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force acts in the positive $x$ and positive $y$ direction.
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Question in MASH Bath: Question Bank
Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ and negative $y$ direction.
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Question in MASH Bath: Question Bank
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 MASH Bath: Question Bank
Rewriting a trigonometric expression of the form $A\sin(\theta)+B\cos(\theta)$ to $R\cos(\theta-\alpha)$ by calculating $R$ and $\alpha$.
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Question in MASH Bath: Question Bank
Rewriting a trigonometric expression of the form $A\cos(\theta)-B\sin(\theta)$ to $R\cos(\theta+\alpha)$ by calculating $R$ and $\alpha$.
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Question in MASH Bath: Question Bank
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 MASH Bath: Question Bank
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 MASH Bath: Question Bank
Simplifying the trigonometric expression $\frac{\sin^2(x)}{1\pm \cos(x)}$ using the trigonometric identity $\sin^2(x)+\cos^2(x)=1$.
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Question in MASH Bath: Question Bank
Calculating the integral of a function of the form $a \cos(bx)$ using a table of integrals.
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Question in MASH Bath: Question Bank
Calculating the integral of a function of the form $\frac{\cos(x)}{\sin(x)+a}$ using integration by substitution.
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Question in MASH Bath: Question Bank
Calculating the integral of a function of the form $ax \cos(x^2+b)$ using integration by substitution.