Trigonometry - Symmetry of Trigonometric Functions
Trigonometry - Symmetry of Trigonometric Functions
Given that \(\cos 75^\circ = a\), express each of the following in terms of \(a\).
- \(\sin 75^\circ\)
- \(\tan 105^\circ\)
- \(\sin 255^\circ\)
- \(\tan 15^\circ\)
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Answer:(a) \(\sqrt{1-a^2}\), (b) \(-\frac{\sqrt{1-a^2}}{a}\), (c) \(-\sqrt{1-a^2}\), (d) \(\frac{a}{\sqrt{1-a^2}}\)
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