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Trigonometry - Symmetry of Trigonometric Functions

Trigonometry - Symmetry of Trigonometric Functions

Given that \(\cos \theta = \frac{1}{4}\) and \(\sin \theta < 0\), express the following in the simplest fractions.

  1. \(\tan \theta\).
  1. \(\cos(90^\circ - \theta)\).

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Answer:(a) \(-\sqrt{15}\) (b) \(-\frac{\sqrt{15}}{4}\)

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