The double angle formulae
The double angleformulaemc-TY- doubleangle -2009-1Thi s unit looks at trigonometric formulae known as thedouble angle formulae . They are calledthis because they involve trigonometric functions of double angles, 2A,cos 2Aandtan order to master the techniques explained here it is vital that you undertake the practiceexercises reading this text, and/or viewing the video tutorial on this topic, you should be able to: derive the double angle formulae from the addition formulae write the formula forcos 2Ain alternative forms use the formulae to write trigonometric expressions in different forms use the formulae in the solution of trigonometric double angle formulae forsin 2A,cos 2Aandtan formulacos 2A= cos2A 3xin terms the formulae to solve an mathcentre 20091. IntroductionThis unit looks at trigonometric formulae known as thedouble angle formulae . They are calledthis because they involve trigonometric functions of double angles, 2A,cos 2Aandtan The double angle formulae forsin 2A,cos 2Aandtan 2AWe start by recalling the addition formulae which have already been described in the unit of thesame (A+B) = sinAcosB+ cosAsinBcos(A+B) = cosAcosB sinAsinBtan(A+B) =tanA+ tanB1 tanAtanBWe consider what happens if we letBequal toA.
The double angle formulae mc-TY-doubleangle-2009-1 This unit looks at trigonometric formulae known as the doubleangleformulae. They are called this because they involve trigonometric functions of double angles, i.e. …
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