Trigonometry functions

Basic angles

100

Sin30°

1/2

200

Sin60°

_√3/2 

300

Cos45°

√2/2

400

Cos60°

1/2

500

Tan60°

√3

Degrees-Coterminal, signs, Reference angles

100

Positive angles are generated by...

counter-clockwise rotations

200

The final position of the ray is called

the terminal side

300

Negative angles are generated by

Clockwise rotations

400

The initial side is rotated about a point called the...

Vertex

500

Coterminal angles are...

angles that have the same initial side and the same terminal side

Degrees and Radians

100

The arc length is called the

radius

200

What's the equation of radians to degrees?

(Radians)(180°/πrad)

300

What's the equation of degrees to radians?

(Degrees)(πrad/180°)

400

90° to radians

 

 π/2 radians

500

 π/3 radians to degrees

60°

Evaluating trig functions

100

What are the 4 steps to evaluating a trig function at any angle?

1) Find the reference angle

2) Evaluate the function

3) Determine the sign (+ or -)

4) Flip the fraction if necessary (csc, sec, cot)

200

Sin210°=

-1/2

(Must show all 4 steps)

300

Cot(-120°)=

+√3/3 

400

Sec135°= 

-√2

(Must show all 4 steps)

500

Tan 25 π/6 =

√3/3

(Must show all 4 steps)

Fun facts

100

Who wrote the song "Don't Stop Believin"?

Journey

200

What are the names of the parents in "The Simpsons"?

Marge and Homer

300

Ho many roles did Tom Hanks play in the movie "The Polar Express"?

6

400

Who was the drummer for The Beatles?

Ringo Starr

500

Who discovered trigonometric functions?

Hipparchus of Nicaea