Draws a triangle based on 3 side lengths.

Homework Set.  Three problems to brush up on trig skills.  Right triangles and sine and cosine law.

Finding the arc length of a sector of a circle when given the radius of the circle and angle of the sector.

Finding the arc length of a sector of a circle when given the radius of the circle and angle of the sector.

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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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Draws a triangle based on 2 angles and a side length.

Draws a right angled triangle based on a length and an angle.

Draws a triangle based on 3 side lengths.

Draws a right angled triangle based on 2 lengths.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Finding lengths of sides of triangles

Basic trigonometry question, students are asked to find the diameter of a circular tunnel given distance from edge of a roadway to centre top of tunnel (randomised) and angle from edge of road to centre top of tunnel (randomised).

Basic trigonometry question, students are asked to find the width of a roadway in a circular tunnel given distance from edge of road to centre top of tunnel (randomised) and angle from edge of road to centre top of tunnel (randomised).

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. 

Use Pythagoras' Theorem to find the length of a side on a right-angled triangle.

DCS 2023 Maths Entrance Test to be used September 2023

1.5 hours with 3 randomised questions from each of these groups:

• Notation and Algebra
• Calculus - Differentiation
• Calculus - Integration
• Trigonometry

Solving $\cos(nx)=a$ for $x\in (0,\pi)$, where $n$ is an integer and $a\in(0,1)$.

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A right-angled triangle is displayed either pointing left or right with one of the other angles and one of the sides given. Use SOH CAH TOA to find the side indicated with an x.

Calculating the missing side-length of a triangle using the cosine rule.

Given two angles and a side-length of a triangle, use the sine rule to calculate an unknown side-length.

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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 $y=y_0$.

JPO 126 Class test 7