Exam-style questions on sec, cosec and cot for Edexcel IAL Pure 3 (WMA13): graphs, Pythagorean identities and inverse trig functions. With full solutions.

This resource covers the whole of Chapter 3 (Trigonometric Functions) of the Pearson Edexcel International A Level Pure Mathematics 3 course. All questions are original and written in the style of the WMA13 paper — these are not reproduced past paper questions.

What’s covered

Secant, cosecant and cotangent, and their exact values
Sketching the graphs of sec x, cosec x and cot x
Using sec, cosec and cot to solve equations
The identities 1 + tan²x = sec²x and 1 + cot²x = cosec²x
Proving trigonometric identities
Inverse trigonometric functions and their domains and ranges

How to use it

Works as homework, as consolidation across a sequence of lessons, or as revision before the WMA13 paper. The two Pythagorean identities are where most of the marks in this chapter sit, and the sheet works them in both directions rather than only forwards.

What’s included

Question paper (PDF, printable)
Full worked solutions (PDF) — complete method, not just final answers
Questions arranged in increasing difficulty

Specification

Written for Edexcel International A Level Mathematics, Pure Mathematics 3 (WMA13), Chapter 3. Also suitable for Edexcel A Level Mathematics 9MA0 and for any A Level course covering this material at A2.