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 -5825˚
295˚, 655˚, ...
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 89π/17

-13π/17 , -47π/17, ...

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. Angles that have same initial and terminal side. 

400

In what quadrant is the angle 103π/15 located?

QII (coterminal to 13π/15)

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
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 is a degree?

A unit of measure that is equivalent to an angle that subtends an arc that is 1/360th the circumference of a circle

500

In what quadrant is an angle of 7 radians located?

Q I (There are ~6.28 radians in a complete circle, so 7 radians is QI)

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.

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