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Radians and quadrants

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  • How many radians are in 45°?
    π/4
  • Find the red angle.
    40 degrees
  • What is 5π/6 radians in degrees?
    150 degrees
  • Which trigonometric functions are POSITIVE in the 1st quadrant?
    sine, cosine and tangent
  • Find the red angle.
    180 degrees
  • Is SINE in the 3rd quadrant positive or negative?
    negative
  • Which trigonometric ratios are POSITIVE in the 4th quadrant?
    cosine
  • Can sin, cos and tan be used with ALL triangles?
    No, only with right-angled triangles.
  • How many degrees does a circle have?
    360 degrees
  • Which trigonometric ratios are POSITIVE in the 3rd quadrant?
    tangent
  • Which quadrant is 2π/3 in?
    2nd quadrant
  • How many radians does a circle have?
    2π radians
  • Explain the Thales theorem.
    If three points A, B, and C lie on the circumference of a circle, whereby the line AC is the diameter of the circle, then the angle ∠ABC is a right angle (90°)
  • What is 240 degrees in radians?
    4π/3
  • If you are given the hypotenuse and an adjacent side, which trigonometric function should you use?
    cosine
  • What is 225 degrees in radians?
    5π/4
  • Is TANGENT in the 2nd quadrant positive or negative?
    negative
  • What is 7π/4 radians in degrees?
    315 degrees
  • O is the centre of the circle. Find the value of x
    Thales circle theorem says <ABC = 90*, so <x = 27*
  • Find the red angle.
    -1000 degrees
  • If <a is = 1 radian, what is the distance of the arc marked "?"
    the same distance as radius, 1 unit
  • In what quadrant is 285°
    4th quadrant
  • What is 2π/3 radians in degrees?
    120 degrees
  • What is π/3 radians in degrees?
    60 degrees