Trigonometry

• What is the equation for the sine function?

  y = sinx
• What is the sine value of 30°?

  0.5
• What are the sine values for key angles from 0° to 360°?

  • 0°: 0
  • 30°: 0.5
  • 60°: 0.9
  • 90°: 1
  • 120°: 0.9
  • 150°: 0.5
  • 180°: 0
  • 210°: -0.5
  • 240°: -0.9
  • 270°: -1
  • 300°: -0.9
  • 330°: -0.5
  • 360°: 0
• What is the equation for the cosine function?

  y = cosx
• What is the cosine value of 0°?

  1
• What are the cosine values for key angles from 0° to 360°?

  • 0°: 1
  • 30°: 0.9
  • 60°: 0.5
  • 90°: 0
  • 120°: -0.5
  • 150°: -0.9
  • 180°: -1
  • 210°: -0.9
  • 240°: -0.5
  • 270°: 0
  • 300°: 0.5
  • 330°: 0.9
  • 360°: 1
• What effect does the transformation y = 2sinx have on the sine function?

  It increases the amplitude of the sine wave
• What happens to the sine function when y = -1sinx?

  The pattern flips vertically
• What are the effects of different coefficients in the sine function transformations?

  • y = 5sinx: Amplitude = 5
  • y = 3/4sinx: Amplitude = 3/4
  • y = 4sinx: Amplitude = 4
  • y = -3sinx: Amplitude = 3 (flipped)
• What is the formula for the area of a triangle?

  A = ½ absinc
• How do you calculate the area of a triangle with sides 6 and 8 and angle 67°?

  A = 144 m²
• How can you find angle C if you know the area of the triangle and sides a and b?

  C = sin⁻¹(A / ½ab)
• What is the area of a triangle with sides 12 cm and 10 cm and angle 72°?

  A = 57.1 cm²
• What is the generalized form of the area of a triangle?

  • A = ½ absinc
  • A = ½ x base x height