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  • Perplex
    IB Math AAHL
    /
    Trig equations & identities
    /

    Trigonometric Identities

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    Trigonometric Identities

    Trigonometric Identities

    Applications of trigonometric identities such as sin2θ+cos2θ=1, sin2θ=2sinθcosθ and more identities for HL students

    Want a deeper conceptual understanding? Try our interactive lesson! (Plus Only)

    Exercises

    No exercises available for this concept.

    Key Skills

    sin²θ+cos²θ=1
    SL 3.6

    For any value of θ:

    sin2θ+cos2θ=1📖
    Sine Double Angle Identity
    SL 3.6

    The double angle identity for sin states that

    sin2θ=2sinθcosθ📖
    Cosine Double Angle Identity
    SL 3.6

    The double angle identity for cosine states that

    cos2θ  ​=cos2θ−sin2θ=2cos2θ−1=1−2sin2θ​

    These three different forms come from leveraging sin2θ+cos2θ=1.