Pearson Edexcel IAL Mathematics P3.2.1 Secant, cosecant & cotangent

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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