Reciprocal Trig Review

FUNCTIONS

100

1/sin 

csc

200

1/cot

tan

300

1/cos

sec

400

1/tan

cot

500

1/csc

sin

RATIO OF SIDES

100

OPPOSITE = 3 ADJACENT = 4 What is sin?

3/5

200

OPPOSITE = 8 ADJACENT = 8. What is sec?

√2

300

ADJACENT = 3 HYPOTENUSE = 10 What is cot?

3√91/91

400

OPPOSITE = 5 ADJACENT = 12 What is csc?

13/5

500

OPPOSITE = √119 HYPOTENUSE = 12 What is sec?

12/5

NEGATIVE ANGLES

100

Find sin (-60°)

-√3/2

200

Find sec (-225°)

- √2

300

Find cot (-11π/6)

√3

400

Find csc (-4π/3)

2√3/3

500

Find sec (-5π/3)

2

POSITIVE ANGLES

100

Find cos 225°

-√2/2

200

Find sec 330°

2√3/3

300

Find csc 765°

√2

400

Find tan 11π/6

-√3/3

500

Find cot 3π

Undefined! or 1/0

Operations with Trig

100

sec(210) - csc(135)

-(2√3/3) - √2

200

sec(π/4) + csc (π/4) + sec (π/3) 

2√2 + 2

300

sec (-330) / csc (-330) 

√3

400

(sec (-60)/sec (-30)) * sec (300) 

2√3

500

(cot (225) / tan (-315))/ csc(30)

1/2