Finding All Function Values (7.1.2)

Question 1

• Four basic trigonometric identities:
  
  • tan θ = (sin θ)/cos θ
  • cos^2 θ + sin^2 θ = 1 (the Pythagorean identity)
  • 1 + tan^2 θ = sec^2 θ
  • 1 + cot^2 θ = csc^2 θ

Answer 1

• Four basic trigonometric identities:
  
  • tan θ = (sin θ)/cos θ
  • cos^2 θ + sin^2 θ = 1 (the Pythagorean identity)
  • 1 + tan^2 θ = sec^2 θ
  • 1 + cot^2 θ = csc^2 θ

Question 2

• Given the value of a trigonometric function for an angle and the quadrant that the angle lies in, you can use trigonometric identities to find the values of the other trigonometric functions.

Answer 2

• Given the value of a trigonometric function for an angle and the quadrant that the angle lies in, you can use trigonometric identities to find the values of the other trigonometric functions.