PRE CALCULUS CHAPTER 4 LATEST 2026
STUDY GUIDE WITH SOLVED QUESTIONS AND
EXPERT SOLUTIONS
◉angle . Answer: A figure formed by two rays with a common endpoint
◉initial side . Answer: The ray that lies on the positive x axis when
drawn in standard position
◉terminal side . Answer: The final position, the beginning ray is rotated
about its endpoint to find it.
◉standard position . Answer: An angle positioned so that its vertex is at
the origin of a coordinate plane, and its initial side is the positive x-axis
◉vertex . Answer: The common endpoint of an angle
◉positive angles . Answer: angles that are generated by a
counterclockwise rotation
◉negative angles . Answer: angles generated by a clockwise rotation
, ◉coterminal . Answer: angles that have the same initial and terminal
sides
◉radian . Answer: the measure of a central angle that intercepts an arc
equal in length to the radius of the circle
◉measure of an angle . Answer: the amount of rotation from the initial
side to the terminal side
◉central angle . Answer: An angle whose vertex is the center of the
circle
◉acute . Answer: An angle less than 90 degrees
◉obtuse . Answer: An angle that is more than 90°, but less than 180°
◉complementary angles . Answer: Two angles whose sum is 90 degrees
◉supplementary angles . Answer: 2 angles whose sum is 180 degrees
◉degrees . Answer: Degrees are used for measuring distances around a
circle; a degree is 1/360th of the way around a circle.
STUDY GUIDE WITH SOLVED QUESTIONS AND
EXPERT SOLUTIONS
◉angle . Answer: A figure formed by two rays with a common endpoint
◉initial side . Answer: The ray that lies on the positive x axis when
drawn in standard position
◉terminal side . Answer: The final position, the beginning ray is rotated
about its endpoint to find it.
◉standard position . Answer: An angle positioned so that its vertex is at
the origin of a coordinate plane, and its initial side is the positive x-axis
◉vertex . Answer: The common endpoint of an angle
◉positive angles . Answer: angles that are generated by a
counterclockwise rotation
◉negative angles . Answer: angles generated by a clockwise rotation
, ◉coterminal . Answer: angles that have the same initial and terminal
sides
◉radian . Answer: the measure of a central angle that intercepts an arc
equal in length to the radius of the circle
◉measure of an angle . Answer: the amount of rotation from the initial
side to the terminal side
◉central angle . Answer: An angle whose vertex is the center of the
circle
◉acute . Answer: An angle less than 90 degrees
◉obtuse . Answer: An angle that is more than 90°, but less than 180°
◉complementary angles . Answer: Two angles whose sum is 90 degrees
◉supplementary angles . Answer: 2 angles whose sum is 180 degrees
◉degrees . Answer: Degrees are used for measuring distances around a
circle; a degree is 1/360th of the way around a circle.
