Range of Trigonometric Ratios from 0 to 90 degrees

  • sin \theta  increases from 0 to 1
  • cos \theta  decreases from 1 to 0
  • tan \theta increases from 0 to \infty
  • cosec \theta  decreases from \infty  to 1
  • sec \theta  increases from 1 to \infty
  • cot \theta  decreases from \infty  to 0

For0^\circ  \le \theta  \le 90^\circ ,

  • 0 \le \sin \theta  \le 1
  • 0 \le \cos \theta  \le 1
  • 0 \le \tan \theta  \le \infty
  • 1 \le \sec \theta  < \infty
  • 0 \le \cot \theta  < \infty
  • 1 \le \cos ec\theta  < \infty

Tan \theta  and sec \theta  are not defined at90^\circ .
Cot \theta  and cosec \theta  are not defined at0^\circ .

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