\[\sec x\equiv ?\]

\[\text{cosec } x\equiv ?\]

\[\cot x\equiv ?\]

Write an identity which links together \(\sec \theta\) and \(\tan \theta\)

Write an identity which links together \(\text{cosec }\theta\) and \(\cot \theta\)

Sketch the graph of \(y=\sin x\) for \(0\leq x \leq 360^{\circ}\)

Sketch the graph of \(y=\cos x\) for \(0\leq x \leq 360^{\circ}\)

Sketch the graph of \(y=\tan x\) for \(0\leq x \leq 360^{\circ}\)

Sketch the graph of \(y=\sin^{-1}x\).
What is its domain and range?

Sketch the graph of \(y=\cos^{-1}x\).
What is its domain and range?

Sketch the graph of \(y=\tan^{-1}x\).
What is its domain and range?

What does \(|x|<a\) mean?

What does \(|x|>a\) mean?

Give the definition of a function

How are the graphs of \(y=f(x)\) and \(y=f^{-1}(x)\) related?

The domain of \(f(x)\) equals the range of ...?

The range of \(f(x)\) equals the domain of ...?

What is meant by the range of a function?

What is meant by the domain of a function?

State the inverse function of \(e^x\)

Sketch the graph of \(y=e^x\), showing any intersections with the axes.

State its domain and range.

Sketch the graph of \(y=\ln x\), showing any intersections with the axes.

State its domain and range.

State the inverse function of \(\ln x\)

Differentiate \(e^{f(x)}\) with respect to \(x\)

Differentiate \(\ln{f(x)}\) with respect to \(x\)

Differentiate \(\sin {\left(f(x)\right)}\) with respect to \(x\)

Differentiate \(\cos {\left(f(x)\right)}\) with respect to \(x\)

Differentiate \(\tan {\left(f(x)\right)}\) with respect to \(x\)

State the product rule for differentiating \[y=uv\] with respect to \(x\), where \(u\) and \(v\) are functions of \(x\)

State the quotient rule for differentiating \[y=\frac{u}{v}\] with respect to \(x\), where \(u\) and \(v\) are functions of \(x\)

\[\frac{1}{\left(\frac{\text{d}x}{\text{d}y}\right)}=?\]

How would you find the first and second derivatives of the parametric equations \(x=f(t)\) and \(y=g(t)\)

\[\int e^x \, dx =?\]

\[\int \frac{1}{x} \, dx = ?\]

\[\int \sin x \, dx = ?\]

\[\int \cos x \, dx = ?\]

What effect will the transformation \(y=f(x)+a\) have on the graph of \(y=f(x)\)?

What effect will the transformation \(y=f(x+a)\) have on the graph of \(y=f(x)\)?

What effect will the transformation \(y=af(x)\) have on the graph of \(y=f(x)\)?

What effect will the transformation \(y=f(ax)\) have on the graph of \(y=f(x)\)?

Sketch the graph of \[y=|x|\]