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VICMath MethodsQuick questions
Unit 3
Quick questions on Circular (trig) functions and graphs: VCE Math Methods Unit 3
5short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What is period mismatch for $\tan$?Show answer
$\tan(b x)$ has period $\frac{\pi}{b}$, not $\frac{2\pi}{b}$. Easy 1-mark loss.
What is wrong sign from the quadrant?Show answer
$\sin(7\pi/6)$ is negative (quadrant 3), not positive. Always sketch the unit circle or use ASTC.
What is degrees instead of radians?Show answer
All VCE Math Methods trig is in radians. Writing $\sin(30)$ instead of $\sin(\pi/6)$ will be marked wrong.
What is forgetting the horizontal dilation reciprocal?Show answer
$b = 2$ compresses horizontally by factor 2, halving the period.
What is including too many or too few solutions?Show answer
When solving $\sin(2x) = 1/2$ for $x \in [0, 2\pi]$, you have $2x \in [0, 4\pi]$, so four solutions for $2x$, hence four solutions for $x$.
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