9th grade - math

• Trigonometry

  A branch of mathematics that deals with the relation of sides and angles of a triangle
• Trigonometry

  Comes from the Greek words "trigonon" meaning triangle and "metron" meaning measure
• hypotenuse

  longest side
• 6 trigonometric ratios

  Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent.
• Inverse of Sine

  Cosecant
• Inverse of Cosine

  Secant
• Inverse of Tangent

  Cotangent
• SOH, CAH, TOA

  Sine-Opposite-Hypotenuse, Cosine-Adjacent-Hypotenuse, Tangent-Opposite-Adjacent.
• to find the measure of legs or hypotenuse, we use;

  c²= a²+b²
• how to convert fraction to decimal number of angle?

  Shift-trigo ratio-number-equal
• 45°-45°-90° right triangle

  hyp = x√2

  leg = hyp

  over

  √2
• 30°-60°-90° right triangle

  hyp = 2x

  LL = x•√3

  SL = hyp

  over

  2
• value of Sin 0°

  0
• value of Sin 30°

  1/2
• value of Sin 45°

  √2

  over

  2
• value of Sin 60°

  √3

  over

  2
• value of Sin 90°

  1
• value of Cos 0°

  1
• value of Cos 30°

  √3

  over

  2
• value of Cos 45°

  √2

  over

  2
• value of Cos 60°

  1

  over

  2
• value of Cos 90°

  0
• value of Tan 0°

  0
• value of Tan 30°

  √3

  over

  3
• value of Tan 45°

  1
• value of Tan 60°

  √3
• value of Tan 90°

  undefined
• Value of Csc 0°

  undefined
• value of Csc 30°

  2
• value of Csc 45°

  √2
• value of Csc 60°

  2√3

  over

  3
• value of Csc 90°


  1
• value of Sec 0°

  1
• value of Sec 30°

  2√3

  over

  3
• value of Sec 45°

  2√3

  over

  2
• value of Sec 60°

  2
• value of Sec 90°

  undefined
• value of Cot 0°

  undefined
• value of Cot 30°

  √3
• value of Cot 45°

  √3