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AustraliaVIC
VCE 12 Methods 2023

3.06 General solutions

Interactive practice questions

Find the general solution of $\sin\theta=\frac{1}{2}$sinθ=12 in radians.

You may use $n$n to represent an integer.

Medium
2min

Find the general solution of $\cos\theta=-\frac{\sqrt{3}}{2}$cosθ=32 in radians.

You may use $n$n to represent an integer.

Medium
1min

Find the general solution of $\sqrt{3}\tan\left(\frac{x}{2}\right)=-3$3tan(x2)=3 in radians.

You may use $n$n to represent an integer.

Medium
3min

Find the general solution of $\cos\left(x+\frac{\pi}{4}\right)=-\frac{1}{\sqrt{2}}$cos(x+π4)=12 in radians.

You may use $n$n to represent an integer.

Medium
2min
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Outcomes

U34.AoS2.5

solution of literal equations and general solution of equations involving a single parameter

U34.AoS2.9

apply a range of analytical, graphical and numerical processes (including the algorithm for Newton’s method), as appropriate, to obtain general and specific solutions (exact or approximate) to equations (including literal equations) over a given domain and be able to verify solutions to a particular equation or equations over a given domain

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