Transcription of The double angle formulae
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The double angle formulae
The double angleformulaemc-TY- doubleangle -2009-1 This unit looks at trigonometric formulae known as thedouble angle formulae . They are calledthis because they involve trigonometric functions of double angles, 2A,cos 2 Aandtan 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 2 Ain 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 2 Aandtan 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 2 Aandtan The double angle formulae forsin 2A,cos 2 Aandtan 2 AWe 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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