2021-01-13T09:13:15+03:00[Europe/Moscow] en true ray, angle, angle's initial side, angle's terminal side, vertex, positive angle, negative angle, coterminal angles, angle in standard position, quadrantal angle, angle that lies in a quadrant, measure of one degree, acute angle, right angle, obtuse angle, straight angle, central angle, 1 radian, radian measure of a central angle, converting degrees to radians, converting radians to degrees, complements/complementary angles, supplements/supplementary angles, arc length formula, sector of a disk, area of a sector, linear speed, angular speed, sine/sin Θ, cosine/cos Θ, tangent/tan, cosecant/csc, secant/sec, cotangent/cot, reciprocal identity of cosecant Θ, reciprocal identity of secant Θ, reciprocal identity of cotangent Θ, reciprocal identity of cosine Θ, reciprocal identity of tangent Θ, quotient identity of tangent Θ, quotient identity of cotangent Θ, isosceles right triangle values flashcards

Math Vocabulary Terms (from TinyCards)

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  • ray
    a part of a line made up of an endpoint and all of the points on one side of it
  • angle
    formed by rotating a ray about its endpoint
  • angle's initial side
    the ray's original position
  • angle's terminal side
    the ray's position after the rotation
  • vertex
    endpoint of an angle
  • positive angle
    angle with counterclockwise rotation
  • negative angle
    angle with clockwise rotation
  • coterminal angles
    angles that have the same initial and terminal sides
  • angle in standard position
    Its vertex is at the origin and its initial side lies on the positive x-axis
  • quadrantal angle
    an angle in standard position whose terminal side lies on a coordinate axis
  • angle that lies in a quadrant
    angle in standard position whose terminal side lies in that quadrant
  • measure of one degree
    is assigned to an angle resulting from a rotation 1/360 of a complete revolution counterclockwise about the vertex
  • acute angle
    has measure between 0° and 90°
  • right angle
    has measure 90°
  • obtuse angle
    has measure between 90° and 180°
  • straight angle
    has measure 180°
  • central angle
    an angle whose vertex is at the center of a circle
  • 1 radian
    the measure of a positive central angle that intercepts an arc of the circle of length equal to the radius of the circle
  • radian measure of a central angle
    Θ= s/r radians
  • converting degrees to radians
    180°= π radians
  • converting radians to degrees
    π radians = 180°, 1 radian = (180/π), Θ radians = (180 Θ/π)°
  • complements/complementary angles
    two positive angles with a sum of 90°
  • supplements/supplementary angles
    two positive angles with a sum of 180°
  • arc length formula
    s=rΘ
  • sector of a disk
    a region bounded by the two sides of a central angle and the intercepted arc
  • area of a sector
    A=1/2r•rΘ
  • linear speed
    v=s/t
  • angular speed
    ω=Θ/t
  • sine/sin Θ
    opposite ÷ hypotenuse
  • cosine/cos Θ
    adjacent ÷ hypotenuse
  • tangent/tan
    opposite ÷ adjacent
  • cosecant/csc
    hypotenuse ÷ opposite
  • secant/sec
    hypotenuse ÷ adjacent
  • cotangent/cot
    adjacent ÷ opposite
  • reciprocal identity of cosecant Θ
    1 ÷ sin Θ
  • reciprocal identity of secant Θ
    1÷ cos Θ
  • reciprocal identity of cotangent Θ
    1 ÷ tan Θ
  • reciprocal identity of cosine Θ
    1 ÷ secant Θ
  • reciprocal identity of tangent Θ
    1÷ cotangent Θ
  • quotient identity of tangent Θ
    sine Θ ÷ cosine Θ
  • quotient identity of cotangent Θ
    cosine Θ ÷ sine Θ
  • isosceles right triangle values
    a=1/b=1/c=square root of 2