Definitions
How do you identify the hypotenuse of a right triangle?
In which quadrant are both x and y positive?
Both x and y are positive in Quadrant 1
What are the coordinate points for π/2?
The coordinate points for π/2 are (0, 1)
What is the radius of the unit circle?
The radius of the unit circle is 1
Convert 145 degrees to radians
(29pi)/36
θ is a Greek letter. What is the name of the letter and what does it represent?
θ is theta and means angle
What are the signs of x and y in Quadrant 4?
x is positive and y is negative in Quadrant 4
What are the coordinate points for 30°?
The coordinate points for 30° are (√3/2 , 1/2)
What is sine of π/6?
Sine of π/6 is (√3/2, 1/2)
Convert 105 degrees to radians
(7pi)/12
Which (x, y) coordinate is cosine?
Cosine is the x-coordinate
In which quadrant is x<0 and y>0?
x<0 and y>0 in Quadrant 2
What are the coordinate points for 7π/4?
The coordinate points for 7π/4 are (√2/2, -√2/2 )
What is cosine of π/3?
The cosine of 4π/3 is 1/2
Convert to degrees
(2pi)/3
120 degrees
Which (x, y) coordinate is sine?
Sine is the y-coordinate
In what quadrant is cos(θ)>0 and sin(θ)>0
cos(θ)>0 and sin(θ)>0 in Quadrant 1
Name the point on the unit circle with coordinates (1, 0).
The points 0π or 2π (0° or 360°) have coordinates (1, 0)
What is tangent of 2π?
Tangent of 2π is 0
Convert to degrees
(5pi)/9
100 degrees
What is the definition of tangent using sine and cosine?
Tangent is sine/cosine or y/x
In which Quadrants is tangent negative?
Tangent is negative in Quadrant 2 and Quadrant 4
Name the point on the unit circle with coordinates (-1/2, -√3/2).
The point 4π/3 or 240° has coordinates (-1/2, -√3/2).
What is tangent of π/2?
Tangent is undefined at π/2
Find the length of an arc of a circle with a radius of 4in. intercepted by a 25 degree central angle
(5pi)/9