Trigonometric Ratios in Right-Angled and Extended Triangles

Trigonometric Ratios in Right-Angled and Extended Triangles

Secondary 3

In the diagram, \(SACT\)is a straight line and \(\angle ABC=90{}^\circ \).
Given that \(BC=12\) cm and \(AB=16\) cm.

  1. Calculate the length of \(AC\).
  2. Express, as a fraction in its lowest terms, the value of
    1. \(\sin x{}^\circ \),
    2. \(\cos y{}^\circ \).

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Answer:(a) \(20\text{ cm}\) (b)(i) \(\frac{3}{5}\) (ii) \(-\frac{3}{5}\)

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