set up x- and y axises.

set linear equations and solve the simulatenous equations.

set up x- and y axises.

set linear equations and solve the simulatenous equations.

A trigonometry mastery quiz for Year 10.

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Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Student is asked to drag points onto the unit circle, to represent sin(x) and cos(x), where x is a multiple of 45 degrees.

A function of the form f(x)= sin(ax+b) is given and plotted. A few points are plotted on the curve. $x$-coordinates are provided for two of them and $y$-coordinate provided for third. Student is required to determine other coordinates.

$x$ 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.)

Draws a triangle based on 3 side lengths.

A question to test basic differentiation of functions, including powers of x, trig, log and exponential functions.

Rearrange some expressions involving logarithms by applying the relation $\log_b(a) = c \iff a = b^c$.

Differentiate $\displaystyle \cos(e^{ax}+bx^2+c)$

Differentiate $ (a+bx) ^ {m} \sin(nx)$

Addition Formulas in Trigonometry. Range of Sinusoidal functions. 

I created this question, and every other question in Multiple Integration, for my dissertation `Computer-Aided Assessment of Multiple Integration'.

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

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Draws a triangle based on 3 side lengths.

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

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