Chapter 8

Introduction to Trigonometry

  • Basic ratio:–* sinθ = P/H (Perpendicular/Hypotenuse)
    * cosθ = B/H (Base/ Hypotenuse)
    * tanθ = P/B (Perpendicular/Base)
  • Reciprocals:–
    * 1/cosecθ = 1/sinθ
    * 1/secθ = 1/cosθ
    * 1/cotθ = 1/tanθ
  • Identities:–
    * sin2θ + cos2θ = 1
    * 1 + tan2θ = sec2θ
    * 1 + cot2θ = cosec2θ
  • ComplementaryAngle:–
    * sin(90°– θ) = cosθ
    * cos(90°- θ) = sinθ
    * tanθ(90°- θ) = cotθ
    * cotθ(90°- θ) = tanθ
    * sec(90°- θ) = cosecθ
    * cosecθ(90°- θ) = secθ

 

 

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