Trigonometry of Acute and Obtuse Angles: Evaluating Sines and Cosines.
Trigonometry of Acute and Obtuse Angles: Evaluating Sines and Cosines.
TGM Original
\(\Delta ABC\) is a right-angled triangle where \(\angle ABC=90{}^\circ \).
\(BC\) is produced to \(D\) and \(\tan \angle ACB=\frac{4}{3}\).
Write down each of the following as a fraction, without the use of a calculator.
- \(\sin \angle ACB\),
- \(\cos \angle BAC\),
- \(\cos \angle ACD\).
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Answer:(i) \(\frac{4}{5}\) (ii) \(\frac{4}{5}\) (iii) \(-\frac{3}{5}\)
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