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AustraliaNSW
Stage 5.1-3

10.04 Trigonometric equations

Interactive practice questions

Find the measure in degrees of the acute angle satisfying $\tan\theta=\frac{1}{\sqrt{3}}$tanθ=13.

Easy
< 1min

Find the measure in degrees of the acute angle satisfying $\sin\theta=\frac{1}{2}$sinθ=12.

Easy
< 1min

Solve $\sin x=\frac{1}{2}$sinx=12 for $x$x where $0^\circ\le x\le90^\circ$0°x90°.

Easy
< 1min

Solve $\cos x=\frac{\sqrt{3}}{2}$cosx=32 for $x$x where $0^\circ\le x\le90^\circ$0°x90°.

Easy
< 1min
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Outcomes

MA5.3-15MG

applies Pythagoras' theorem, trigonometric relationships, the sine rule, the cosine rule and the area rule to solve problems, including problems involving three dimensions

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