Trigonometry - Chapter 2 Review

30 degrees

100

sin 30^o

1/2

200

cos 30^o

sqrt(3)/2

300

tan 30^o

sqrt(3)/3

400

csc 30^o

2

500

sec 30^o

2sqrt(3)/3

45 degrees

100

cos 45^o

sqrt(2)/2

200

tan 45^o

1

300

sin 45^o

sqrt(2)/2

400

cot 45^o

1

500

csc 45^o

sqrt(2)

60 degrees

100

tan 60^o

sqrt(3)

200

cos 60^o

1/2

300

sin 60^o

sqrt(3)/2

400

cot 60^o

sqrt(3)/3

500

sec 60^o

2

Special Right Triangles

100

30-60-90 Triangle: If the side opposite the 30^o angle is 23, what is the length of the hypotenuse?

46

200

45-45-90 Triangle: If the side opposite the 45^o angle is 20, what is the length of the hypotenuse?

20sqrt(2)

300

30-60-90 Triangle: If the side opposite the 60^o angle is 7, what is the length of the side opposite the 30^o angle?

7sqrt(3)/3

400

45-45-90 Triangle: If the hypotenuse has length of 40, what is the length of the one of the legs?

20sqrt(2)

500

30-60-90 Triangle: If the side opposite the 60^o angle is 10, what is the length of the hypotenuse?

20sqrt(3)/3

Potpourri

100

Using the words opposite, adjacent, and hypotenuse, what is the ratio for the cosine of an angle?

adjacent over hypotenuse

200

Find csc 34.8^o (round to three decimals).

1.752

300

If the sin x = 2/3, what is csc x?

3/2

400

If the sec x = 7/5, what is the sin x?

2sqrt(6)/7

500

If the sec x = 7/5, what is the cot x?

5sqrt(6)/12