Edexcel A-Level Mathematics A2 P3.2.1 Secant Cosecant and Cotangent Questions

Practise rewriting sec, cosec and cot expressions with sine, cosine and tangent, then solving trigonometric equations in degrees or radians.

Exam points

rewrite equations using cosec θ=1/sin θ before reducing to sin 2θ or a quadratic
solve transformed equations over a stated interval and round angle answers appropriately
interpret inverse trig graphs, including restricted domains and vertical tangents

[Maximum number: 1]

A curve C has equation y=f(x), where

f(x)=\arcsin\left(\frac{x}{2}\right),\qquad -2\leqslant x\leqslant2,\qquad -\frac{\pi}{2}\leqslant y\leqslant\frac{\pi}{2}

Sketch C.

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