Sketch the graphs of cos4θ \cos 4\theta\,cos4θ and sec4θ\sec 4\thetasec4θ, on the same set of axes, in the interval 0≤θ≤π2\displaystyle 0 \leq \theta \leq \frac{\pi}{2}0≤θ≤2π
Sketch the graphs of sin4θ \sin 4\theta\,sin4θ and csc4θ\csc 4\thetacsc4θ, on the same set of axes, in the interval 0≤θ≤π2\displaystyle 0 \leq \theta \leq \frac{\pi}{2}0≤θ≤2π
Sketch the graphs of tan4θ \tan 4\theta\,tan4θ and cot4θ\cot 4\thetacot4θ, on the same set of axes, in the interval 0≤θ≤π2\displaystyle 0 \leq \theta \leq \frac{\pi}{2}0≤θ≤2π
274 exam-style questions on Edexcel A Level Maths Trigonometric Functions, covering 6.1 Secant, Cosecant and Cotangent, 6.2 Graphs of Sec x, Cosec x and Cot x, 6.3 Using Sec x, Cosec x and Cot x, 6.4 Trigonometric Identities, and 6.5 Inverse Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.