Math

• What mathematical branch studies right angle triangles?

  Trigonometry
• What does trigonometry study in right angle triangles?

  Relationships between sides and angles
• How can trigonometry help with unknown side lengths?

  By using known angles and side lengths
• What is the significance of the angle Theta in a right angle triangle?

  It determines the ratios of the sides
• What is the longest side of a right angle triangle called?

  Hypotenuse
• How do we label the side opposite angle Theta?

  As the opposite side
• What do we label the side next to angle Theta?

  Adjacent side
• What are the three main trigonometric functions?

  • Sine (sin)
  • Cosine (cos)
  • Tangent (tan)
• What does the sine function represent?

  Ratio of opposite to hypotenuse
• What does the cosine function represent?

  Ratio of adjacent to hypotenuse
• What does the tangent function represent?

  Ratio of opposite to adjacent
• What mnemonic helps remember trigonometric functions?

  • Some Old Hags Can't Always Hack Their Old Age
• What is the first step in solving a trigonometric equation?

  Label the unknown sides
• In a triangle with an angle of 35° and hypotenuse of 12 m, how do we find the opposite side?

  Use sine function
• What is the equation for sine in this context?

  sin 35° = opposite / 12
• What is the value of sin 35° approximately?

  0.57
• How do you isolate X in the equation sin 35° = X / 12?

  Multiply both sides by 12
• What is the calculated length of the opposite side in the example?

  6.88 m
• In the second example, what is the angle given?

  48°
• What is the known side length in the second example?

  15 m
• Which function is used for opposite and adjacent sides?

  Tangent function
• What is the equation for tangent in this context?

  tan 48° = opposite / X
• What is the approximate value of tan 48°?

  1.11
• How do you solve for X in the equation tan 48° = 15 / X?

  X = 15 / 1.11
• What is the calculated length of X in the second example?

  1.51 m
• What is the first step to find an angle using side lengths?

  Label the sides as opposite, hypotenuse, or adjacent
• Which function is used when finding an angle from opposite and hypotenuse?

  Sine function
• What is the equation for sine when finding an angle?

  sin Theta = opposite / hypotenuse
• What is the calculated value of sin Theta in the last example?

  0.314
• How do you find Theta using sin Theta = 0.314?

  Use the inverse sine function
• What is the calculated angle Theta in the last example?

  18.3°
• In the final example, what are the known side lengths?

  17 m and 12 m
• Which function is used for adjacent and hypotenuse in the last example?

  Cosine function
• What is the equation for cosine in this context?

  cos Theta = adjacent / hypotenuse
• What is the calculated value of cos Theta in the last example?

  0.71
• How do you find Theta using cos Theta = 0.71?

  Use the inverse cosine function
• What is the calculated angle Theta in the last example?

  45.1°
• What are the key steps in solving trigonometric problems?

  1. Label the sides
  2. Identify the appropriate function
  3. Substitute known values
  4. Solve for unknowns
• What should you do if you encounter problems in trigonometry?

  Ask for help or watch more videos
• What should you do if you like the video?

  Hit the like button and subscribe