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C3 OCR Question!

If 4 sin x + 3 cos x can be written in the form R sin (x + α)

how would you write 4sin 2θ + 3 cos 2θ in the same form?
Reply 1
Avatar for raheem94
raheem94
13
Original post by Super Mario 64
If 4 sin x + 3 cos x can be written in the form R sin (x + α)

how would you write 4sin 2θ + 3 cos 2θ in the same form?


Let x=2θ x = 2 \theta

4sin⁡2θ+3cos⁡2θ=Rsin⁡(2θ+α) 4 \sin 2 \theta +3 \cos 2 \theta = R \sin( 2 \theta + \alpha )
Original post by raheem94
Let x=2θ x = 2 \theta

4sin⁡2θ+3cos⁡2θ=Rsin⁡(2θ+α) 4 \sin 2 \theta +3 \cos 2 \theta = R \sin( 2 \theta + \alpha )


Raheem, you 're a bigger help than my teachers that's for sure :wink:
Reply 3
Avatar for raheem94
raheem94
13
Original post by Super Mario 64
Raheem, you 're a bigger help than my teachers that's for sure :wink:


:smile:

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