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7.03 Solving equations using radians

Interactive practice questions

If $\sin\theta=0.3420$sinθ=0.3420, find the value of $\theta$θ correct to two decimal places, where $0$0$\theta$θ < $2\pi$2π.

a

Find the acute angle $\theta$θ that solves the equation.

b

Now find ALL solutions to $\theta$θ in the range $0$0 to $2\pi$2π (Write the solutions on the same line, separated by a comma). Round your solutions to $2$2 decimal places.

Easy
3min

If $\cos\theta=0.9063$cosθ=0.9063, find the value of $\theta$θ correct to two decimal places, where $0$0$\theta$θ < $2\pi$2π.

Easy
2min

Solve $\tan x=1$tanx=1 for $x$x where $0\le x\le\frac{\pi}{2}$0xπ2.

Easy
< 1min

Solve $\sin x=\frac{\sqrt{3}}{2}$sinx=32 for $x$x where $0\le x\le\frac{\pi}{2}$0xπ2

Easy
1min
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Outcomes

MA11-1

uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

MA11-4

uses the concepts and techniques of periodic functions in the solutions of trigonometric equations or proof of trigonometric identities

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