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QLDMath MethodsQuick questions
Unit 2: Calculus and further functions
Quick questions on Exponential, logarithmic and trigonometric functions: QCE Math Methods Unit 2 Year 11
7short 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 unit circle?Show answer
Point at angle $\theta$: $(\cos\theta, \sin\theta)$.
What is graphs?Show answer
- $\sin(x)$: wave, amplitude 1, period $2\pi$. - $\cos(x)$: shifted sin, $y$-intercept 1. - $\tan(x)$: period $\pi$, asymptotes at $\pi/2 + \pi k$.
What is identities?Show answer
$\sin^2\theta + \cos^2\theta = 1$. Even/odd: $\sin(-\theta) = -\sin\theta$, $\cos(-\theta) = \cos\theta$.
What is transformations?Show answer
$y = A\sin(B(x - C)) + D$: amplitude $|A|$, period $2\pi/|B|$, phase shift $C$, vertical shift $D$.
What is calculator in degrees?Show answer
VCE/QCE Methods uses radians.
What is missing solutions?Show answer
$\sin x = 1/2$ has two solutions per period.
What is reciprocal vs inverse?Show answer
$\sin^{-1}$ is inverse function (arcsin), not $1/\sin$.
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