Trigonometry - Symmetry of Trigonometric Functions

Trigonometry - Symmetry of Trigonometric Functions

TGM Original Questions

Given that \(\sin 48^\circ = a\), express each of the following in terms of \(a\).

  1. \(\cos 48^\circ\)
  1. \(\tan 228^\circ\)
  1. \(\sin 42^\circ\)
  1. \(\sin(-132^\circ)\)

Solution:

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

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