trigonometry

• SOHCAHTOA


  An expression used in right triangle trigonometry
• In this lesson, we're going to focus on right triangle trigonometry
• Right triangle


  • Opposite side to the angle theta
  • Adjacent side to the angle theta
  • Hypotenuse (longer side)
• The Pythagorean theorem applies to right triangles: a^2 + b^2 = c^2
• Six trigonometric functions


  • Sine
  • Cosine
  • Tangent
  • Cosecant
  • Secant
  • Cotangent
• Sine (θ)


  Opposite side / Hypotenuse
• Cosine (θ)


  Adjacent side / Hypotenuse
• Tangent (θ)


  Opposite side / Adjacent side
• Cosecant (θ)


  Hypotenuse / Opposite side
• Secant (θ)


  Hypotenuse / Adjacent side
• Cotangent (θ)


  Adjacent side / Opposite side
• Finding trigonometric function values

  1. Use SOHCAHTOA

  2. Reciprocal relationships (cosecant, secant, cotangent)
• To find the missing side, use the appropriate trigonometric function based on the given information
• To find the trigonometric function values, use SOHCAHTOA and reciprocal relationships
• The inverse trigonometric functions (arc sine, arc cosine, arc tangent) can be used to find the angle given the side lengths