11TH•Mathematics•Trigonometric Identities•Question 10

(i)

Find $\sin(\alpha + \beta)$ and $\cos(\alpha + \beta)$, given that

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(i)

$\tan\alpha = \dfrac{3}{4}$ , $\cos\beta = \dfrac{5}{13}$ and neither the terminal side of the angle of measure $\alpha$ nor that of $\beta$ is in the quadrant I.

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(ii)

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