Trigonometry - Symmetry of Trigonometric Functions

Trigonometry - Symmetry of Trigonometric Functions

Express \(\sin \theta\), \(\cos \theta\) and \(\tan \theta\) in terms of the ratios of its basic angles.

  1. \(\theta = 140^\circ\)
  2. \(\theta = \frac{8}{3}\pi\)
  3. \(\theta = -\frac{2}{3}\pi\)

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Answer:(a) sin 140°=sin 40°, cos 140°=-cos 40°, tan 140°=-tan 40°. (b) sin(8pi/3)=sin(pi/3), cos(8pi/3)=-cos(pi/3), tan(8pi/3)=-tan(pi/3). (c) sin(-2pi/3)=-sin(pi/3), cos(-2pi/3)=-cos(pi/3), tan(-2pi/3)=tan(pi/3).

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