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2.03 Solutions to trigonometric equations

Interactive practice questions

Solve $\cos2x=0.9$cos2x=0.9 for $0\le x$0x$<$<$2\pi$2π.

Give your answers correct to two decimal places.

Medium
5min

Solve $\sin\left(x-\frac{\pi}{4}\right)=\frac{1}{\sqrt{2}}$sin(xπ4)=12 for $-\pi\le x$πx$<$<$\pi$π.

Medium
1min

Solve $\cos\left(x+\frac{\pi}{4}\right)=-\frac{1}{\sqrt{2}}$cos(x+π4)=12 for $0\le x$0x$<$<$2\pi$2π.

Medium
3min

Solve $\tan\left(2x-\frac{\pi}{6}\right)=-\frac{1}{\sqrt{3}}$tan(2xπ6)=13 for $0\le x\le\pi$0xπ.

Medium
1min
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Outcomes

MA12-1

uses detailed algebraic and graphical techniques to critically construct, model and evaluate arguments in a range of familiar and unfamiliar contexts

MA12-5

applies the concepts and techniques of periodic functions in the solution of problems involving trigonometric graphs

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