Show:
Coterminal Angles and Quadrants
Trig Ratios and the Pythagorean Theorem
Converting Between Radians and Degrees
Unit Circle Trig Ratios
Definitions
100

Give the positive coterminal angle for 10˚

370˚

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 the positive coterminal angle for -582

138˚

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 the coterminal angles for 5π/3

7π/9 & -29π/9

300

The one leg of a triangle is 6 inches and the hypotenuse is 8 inches. Find the length of the other leg.

 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 13π/15 located?

QII 

400

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

2*sqrt(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(s) is the sine function positive?

Q1 & Q2

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)

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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.