Math

• The sum of the squares of the lengths of the legs of a right triangle is equal to the square of the lengths of its hypotenuse

  Pythagorean Theorem
• Greek philosopher and mathematician, who was the first to write a proof of a theorem based on the sides of a right triangle

  • Pythagoras
• Types of Angles

  • Right Angle
  • Acute Angle
  • Obtuse Angle
  • Straight Angle
  • Reflex Angle
• Pythagorean Theorem was a theorem named after Pythagoras.
• What is the formula for the Pythagorean Theorem?

  c2=a2+b2

  hypotenuse2=leg2+leg2
• Type of angle that is less than 90 degrees?

  Acute Angle
• Type of angle that is more than 90 degrees?

  Obtuse Angle
• Type of angle that is exactly 90 degrees?

  Right Angle
• Type of angle that is exactly 180 degrees?

  Straight Angle
• Type of angle that is more than 180 degrees but less than 360 degrees?

  Reflex Angle
• What is a branch of mathematics that deals with the relationships between the sides and angles of triangles?

  Trigonometry
• The word trigonometry comes from the Greek words trigonon, which means "triangle," and metria, which means "measurement."
• A figure formed by two rays with a common end point?

  Angles
• Angles is Usually denoted by the Greek letter theta "Ѳ"
• Positive Angle is the movement of the terminal side in counterclockwise direction.
• Negative Angle is the movement of the terminal side is in clockwise direction.
• Angles in standard positon is an angle is in its standard position if the vertex is the origin of the rectangular coordinate plane, and its initial side lies along the positive side of the x – axis.
• Quadrantal angle is an angle in standard position whose terminal side lies along the x- or y-axis.
• Co-terminal angles are angles with the same terminal side.
• Positive Co-terminal a = β  + n(360) or just add 360 degrees in every angle.
• Negative Co-terminal a = β  + n(-360) or just minus 360 degrees in every angle.
• Reference Angle is the smallest positive angle between the x-axis and the terminal side.
• T/F

  To get the reference angle you will just subtract from the angles on the x-axis. Angles may exceed from 360, add 180 to get the next angle on the x-axis. True
• T/F

  One rev is equal to 360 degrees

  True
• Multiply the given radian by 180 degrees / pi.

  Radian to Degree
• Radian System

  Multiply the given degree by pi / 180 degrees.

  Degree to Radian
• Label the triangles and its parts

  A) adjacent

  B) hypotenuse

  C) opposite

  D) b

  E) a

  F) c

  
• Label the parts of a right triangle

  A) adjacent

  B) hypotenuse

  C) a

  D) c

  E) b

  F) opposite

  
• What are the six trigonometric ratios or functions?


  • Sine
  • Cosine
  • Tangent
  • Cosecant
  • Secant
  • Cotangent
• Sine theta is equals to?

  opposite/hypotenuse
• Cosine theta is equals to?

  adjacent/hypotenuse
• Tangent theta is equals to?

  opposite/adjacent
• csc theta is equals to?

  hypotenuse/opposite
• sec theta is equals to?

  hypotenuse/adjacent
• cot theta is equals to?

  adjacent/opposite
• sine is the reciprocal of what?

  cosecant
• Cosine is the reciprocal of what?

  secant
• tangent is the reciprocal of what?

  cotanget
• What is the mnemonics of the six trigonometric ratios or functions?

  Soh-Cah-Toa-Cho-Sha-Cao
• T/F

  We have coordinates (y,x)

  False