Show:
Coterminal Angles and Quadrants
Trig Ratios and the Pythagorean Theorem
Converting Between Radians and Degrees
Unit Circle Trig Ratios
Definitions
100
Give a positive coterminal angle for 10˚
370˚, 730˚, ...
100
Find the cosine of ø in the triangle on the board
Based on board
100
What is π/3 in degrees?
60˚
100
Evaluate sin( π/4 )
sqrt(2)/2
100
What is the sine of an angle?
-A ratio in a right triangle equivalent to the opposite side over the hypotenuse. -In a unit circle, it is the y-coordinate for any given point on the circle
200

Find a positive coterminal angle for 650˚

295˚

200
Find the cosecant of the alpha in the triangle on the board
Based on the board
200
What is 5π/4 in degrees?
225˚
200
Evaluate cos (11π/6)
sqrt(3)/2
200
What is the cotangent of an angle?
-A ratio in a right triangle equivalent to the adjacent side over the opposite side. -A ratio equivalent to the reciprocal of the tangent of that angle -In a circle, it is the x-coordinate divided by the y-coordinate for any given point on the circle
300

Find a negative coterminal angle for 3π/2

-π/2 

300
The one leg of a triangle is 6 inches and the hypotenuse is 8 inches. Find the length of the other leg.
sqrt(28) or 2sqrt(7)
300
What is 57π/60 in degrees?
171˚
300
Evaluate tan (3π / 4)
-1
300
What is a coterminal angle?
An angle that looks identical to another angle in standard position but whose terminal side has been rotated by a multiple of 360˚ or 2pi
400

In what quadrant is the angle that measures 1 radian? 

QI (because its between 0 and 1.57... aka pi/2)

400

The length of one side of a triangle is 2a and the length of the other side is 2a. Find the length of the hypotenuse in terms of a. 

2a*sqrt(2) or sqrt(8a^2)

400
What is 390˚ in radians (as a fraction in simplest form)?
13π/6
400
Evaluate sec (4π/3)
-2
400

What does it mean for an angle to be in "standard position"?

An angle created by the initial ray, on the positive part of x-axis, and the terminal ray rotated accordingly with the angle measure. 

+ = counter-clockwise

- = clockwise

500

In what quadrant is the angle 16π/15 located?

QIII (coterminal with 192 degrees)

500
The lengths of the legs of a triangle are 24, 26, and 10. Is this a right triangle?
Yes-- 24^2 + 10^2 = 26^2
500
What is 204˚ in radians (as a fraction in simplest form)?
17π/15
500
Evaluate csc (π)
undefined
500
What is a radian?
A radian is the measure of an angle that subtends an arc whose length is equivalent to the radius of the circle.