Derive triple angle formula only

A question is this type if and only if it requires deriving a formula for sin 3x, cos 3x, or tan 3x by writing it as (2x + x) and applying compound and double angle formulae, without further application.

1 questions · Challenging +1.2

Sort by: Default | Easiest first | Hardest first

OCR MEI Further Pure Core 2023 June Q12

7 marks Challenging +1.2

12 Show that \(\sin ^ { 5 } \theta = \operatorname { asin } 5 \theta + \mathrm { b } \sin 3 \theta + \mathrm { csin } \theta\), where \(a , b\) and \(c\) are constants to be determined.