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Trigonometry Problem Set: Calculating Angles and Fractional Ratios.

Trigonometry Problem Set: Calculating Angles and Fractional Ratios.

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The figure shows \(\Delta PQR\) formed by the 3 points \(P(1,\text{}\hspace{0.5em}2)\), \(Q(4,\text{}\hspace{0.5em}6\text{)}\) and \(R(-5,\text{ 2)}\).

Find the value of each of the following.

  1. \(\sin \angle QPR\),
  2. \(\cos \angle QPR\),
  3. \(\tan \angle PRQ\).

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Answer:(i) \(\frac{4}{5}\) (ii) \(-\frac{3}{5}\) (iii) \(\frac{4}{9}\)

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