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Concept: Trigonometric Functions of Sum and Difference of Two Angles

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Description

  • Identities Related to Sin 2x, Cos2x, Tan 2x, Sin3x, Cos3x and Tan3x.
  • Deducing the Identities
  • Deducing the identities like the following:-
    `tan(x+-y)=(tanx+-tany)/(1+-tanxtany)", "cot(x+-y)=(cotxcoty+-1)/(coty+-cotx)`
    `sinalpha+-sinbeta=2"sin"1/2(alpha+-beta)"cos"1/2(alpha+-beta)`
    `cosalpha+cosbeta=2"cos"1/2(alpha+beta)"cos"1/2(alpha-beta)`
    `cosalpha-cosbeta=-2"sin"1/2(alpha+beta)"sin"1/2(alpha-beta)`
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