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    Further trigonometry and four point method

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    Further Trigonometry

    Composite Figures
    A diagram consisting of more than one triangle is said to be a composite figure.
    For trigonometric problems involving a composite figure, first decide whether to use sine, cosine or tangent, and then calculate the required length or angle.
    Example 1
    In the given diagram, find:
    a. x
    b. y


    Using a Construction Line
    To solve some trigonometric problems, we need to convert the given triangle into two right-angled triangles by drawing a perpendicular construction line from the vertex to the opposite side.
    Example 2
    Find BC in the given diagram, rounded to 2 decimal places.

    Draw BD perpendicular to AC. Let BD = x cm, BC = y cm.

    2. Directions and Bearings
    The direction to a point is stated as the number of degrees east or west of north or south.
    For example, the direction of A from O is N30ºE.
    B is N60ºW from O.
    C is S70ºE from O.
    D is S80ºW from O.

    N30ºE means the direction is 30º east of north.

    The bearing to a point is the angle measured in a clockwise direction from the north line.

    For example, the bearing of P from O is 065º.
    The bearing of Q from O is 300º.

    The direction of P from O is N65ºE.
    The direction of Q from O is N60ºW.

    A bearing is used to represent the direction of one point relative to another point.
    For example, the bearing of A from B is 065º.
    The bearing of B from A is 245º.

    • Three ...

    Solution Summary

    This explains further trigonometry and four-point method.