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A2 Unit 3 Pure Mathematics B

Quick questions on Trigonometry: radians, compound and double angles, and R sin form - 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 is radian measure?
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A radian is the angle subtended at the centre by an arc equal in length to the radius. Since a full circle is 2π2\pi radians, π\pi radians =180∘= 180^{\circ}.
What is the harmonic form R sin(theta + alpha)?
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Expressing asin⁡θ+bcos⁡θa\sin\theta + b\cos\theta as a single sinusoid makes the maximum, minimum and solutions immediate.
What is q1?
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Convert 135∘135^{\circ} to radians. [1 mark]
What is q2?
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A sector has radius 6 cm6\,\text{cm} and angle 0.50.5 radians. Find its area. [2 marks]
What is q3?
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Find RR if 5sin⁡θ+12cos⁡θ=Rsin⁡(θ+α)5\sin\theta + 12\cos\theta = R\sin(\theta + \alpha). [2 marks]

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