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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

4short 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?
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Point at angle θ\theta: (cos⁡θ,sin⁡θ)(\cos\theta, \sin\theta).
What are graphs?
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- sin⁡(x)\sin(x): wave, amplitude 1, period 2π2\pi. - cos⁡(x)\cos(x): shifted sin, yy-intercept 1. - tan⁡(x)\tan(x): period π\pi, asymptotes at π/2+πk\pi/2 + \pi k.
What are identities?
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sin⁡2θ+cos⁡2θ=1\sin^2\theta + \cos^2\theta = 1. Even/odd: sin⁡(−θ)=−sin⁡θ\sin(-\theta) = -\sin\theta, cos⁡(−θ)=cos⁡θ\cos(-\theta) = \cos\theta.
What are transformations?
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y=Asin⁡(B(x−C))+Dy = A\sin(B(x - C)) + D: amplitude ∣A∣|A|, period 2π/∣B∣2\pi/|B|, phase shift CC, vertical shift DD.

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