Trigonometry - Symmetry of Trigonometric Functions

Trigonometry - Symmetry of Trigonometric Functions

TGM Original Questions

Given that \(\cos 50^{\circ} = a\), express each of the following in terms of \(a\).

  1. \(\sin 50^{\circ}\)
  1. \(\cos (-40^{\circ})\)
  1. \(\tan 130^{\circ}\)
  1. \(\sin 230^{\circ}\)

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Answer:(i) \(\sqrt{1-a^2}\) (ii) \(-\frac{\sqrt{1-a^2}}{a}\) (iii) \(\sqrt{1-a^2}\) (iv) \(-\sqrt{1-a^2}\)

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