What you need to know
Check yourself against these “I can” statements.
- I can define sec, cosec and cot in terms of cos, sin and tan
- I can sketch the graphs of sec, cosec and cot and state their domains and ranges
- I can use 1 + tan²θ = sec²θ and 1 + cot²θ = cosec²θ
- I can simplify expressions, prove identities and solve equations with sec, cosec and cot
- I can use arcsin, arccos and arctan and their domains and ranges
Practise this topic
3 resourcesGraph Plotter
A graphing calculator: type y = f(x), x = g(y), implicit relations such as x² + y² = 25, inequalities (shaded, dashed for < and solid for ≤), parametric and polar curves, points and tables, functions f(x) = … with f′(x), and…
🧩 ConnectionsSimplifying Trig with Reciprocals
Sixteen expressions using sin, cos, tan, sec, cosec and cot: find the four that simplify to the same thing, using 1 + tan²x = sec²x and 1 + cot²x = cosec²x.
🧩 ConnectionsTrig Exact Values with Reciprocals
Sixteen expressions in sin, cos, tan, sec, cosec and cot, four values. Easy: special angles. Standard: angles like 37°, linked by the symmetry of the graphs. Hard: identities too, including 1 + tan²x = sec²x and 1 + cot²x =…
These are the pages for Trigonometric functions in the A Level Further Maths scheme of work, following Pearson Edexcel A Level Further Mathematics (9FM0). Open this topic in Mr Wells Maths to see it alongside the rest of the course.