Trigonometric Ratios of Acute and Obtuse Angles

Trigonometric Ratios of Acute and Obtuse Angles

Secondary 3

\(BCD\) is a right-angled triangle where \(\angle BCD=90{}^\circ \).
\(CB\) is produced to \(A\) and \(CD\) is produced to \(E\).
Given that \(\cos \angle BDE=-\frac{21}{29}\), express as a fraction, the value of

  1. \(\cos \angle BDC\),
  2. \(\tan \angle DBC\),
  3. \(\sin \angle DBA\).

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Answer:(i) \(\cos\angle BDC=\frac{21}{29}\) (ii) \(\tan\angle DBC=\frac{21}{20}\) (iii) \(\sin\angle DBA=\frac{21}{29}\)

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