Show:
Evaluate the trig function (sin, cos, tan)
Evaluate the reciprocal function (csc, sec, cot)
Converting degrees and Radians
SohCahToa
All Trig Values
100
sin(60 degrees)
What is sqrt(3) / 2
100
sec(45 degrees)
What is sqrt(2)
100

given 40 degrees

2pi/9

100

Sine=

opposite/hypotenuse

100

What is the period of a sine graph

2pi

200
cos(2pi / 3)
What is -1/2
200
csc(5pi / 6)
What is 2
200

110 degrees

11pi/18

200

Cosine=

adjacent/hypotenuse

200

What is the period of a cosine graph

2pi

300
tan(11pi / 6)
What is -sqrt(3) / 3
300
cot(315 degrees)
What is -1
300

-200 degrees

-10pi/9

300

Tangent =

opposite/adjacent

300

What is the period of a tangent graph

pi

400
sin(-135 degrees)
What is -sqrt(2)/2
400
sec(-240 degrees)
What is -2
400

4pi/3 convert to degrees

240 degrees

400

See right triangle on board.

Find the sine of angle theta.

8/17

400

Given sine is 8/15 and tangent is -8/√161 ,

find the other 4 trig functions in Quadrant 2

cosθ= - √161/15

cscθ=15/8

secθ= - 15/√161

cotθ=− √161/8

500
tan(630 degrees)
What is undefined.
500
cot(19pi / 6)
What is sqrt(3)
500

-5pi/6

-150 degrees

500
See right triangle on board.

Find tangent of angle theta.

8/15

500

Given the cosθ=5/13 and sinθ=−12/13,

find the other 4 trig functions in Quadrant IV

tanθ=−12/5

cscθ=−13/12

secθ=13/5

cotθ=−5/12