Mathematics 0580 · IGCSE · Trigonometric functions

Trigonometric functions — practice question

Work with the function $y=3\cos 2x^\circ$.
(a)[3]

Fill in the table for $y=3\cos 2x^\circ$. Give the values correct to 1 decimal place.

(b)[4]

Sketch the graph of $y=3\cos 2x^\circ$ for $0\le x\le90$.

(c)[1]

From your graph, solve the equation $3\cos 2x^\circ=-2$ for $0\le x\le90$.

(d)[3]

Using a suitable straight line, solve the equation $120\cos 2x^\circ=80-x$ for $0\le x\le90$.

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