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1 Pure Mathematics

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Question 208

Given that

5cos⁡θ−12sin⁡θ≡Rcos⁡(θ+α) 5 \cos \theta - 12 \sin \theta \equiv R \cos(\theta + \alpha) 5cosθ−12sinθ≡Rcos(θ+α)

find the value of RRR, where R>0R > 0R>0.

Circle the correct answer from the options below:

555 \qquad 777 \qquad 131313 \qquad 171717

[2]

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