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AS Unit 1 Pure Mathematics A

Quick questions on Trigonometry: graphs, identities, equations and the sine and cosine rules - WJEC A-Level Maths

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 are the trig graphs?
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You should be able to sketch each graph and read symmetry and periodicity from it:
What are identities?
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The Pythagorean identity is the workhorse: it converts sin⁡2\sin^2 into 1−cos⁡21 - \cos^2 (or vice versa) so an equation can be written entirely in one ratio.
What is q1?
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Solve tan⁡θ=1\tan\theta = 1 for 0∘≤θ≤360∘0^{\circ} \le \theta \le 360^{\circ}. [2 marks]
What is q2?
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In triangle ABCABC, A=40∘A = 40^{\circ}, B=75∘B = 75^{\circ} and a=9 cma = 9\,\text{cm}. Find bb. [3 marks]
What is q3?
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Show that 1−cos⁡2θsin⁡θ=sin⁡θ\dfrac{1 - \cos^2\theta}{\sin\theta} = \sin\theta. [2 marks]

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