Assignment #1: page 933 #’s 13-23,30-32,(38)

Find the value of the sine, cosine, and tangent functions for ϴ.

13) 14) 15)

sin 1

3

cos 2 2

3

tan 2

4

sin 2 2

3

cos 1

3

tan 2 2

sin 5 41

41

cos 4 41

41

tan 5

4

Use a trigonometric function to find the value of x.

16) 17)18)

75 2 140 5 3

19) Today, the Great Pyramid in Egypt is not as tall as when it was originally built. The square base of the pyramid has a side length of 230 m, and the sides of the pyramid meet the base at an angle of 52˚.

A) What was the original height of the pyramid to the nearest meter? 147 m

B) What was the original slant height of the pyramid to the nearest meter? 187 m

20) The top of the Matagorda Island Lighthouse in Texas is about 90 ft above sea level. The angle of elevation from a fishing boat to the top of the lighthouse is 10˚.

A) To the nearest foot, what is the distance d between the boat and the base of the lighthouse? 510 ft

B) After the boat drifts for half an hour, the angle of elevation has decreased to 4.5˚. To the nearest foot, how much farther has the boat moved from the lighthouse? 633 ft

Find the values of the six trig functions for ϴ.

sin 4

5

cos 3

5

tan 4

3

csc 5

4

sec 5

3

cot 3

4

sin 17

17

cos 4 17

17

tan 1

4

csc 17

sec 17

4cot 4

sin 2

2

cos 2

2tan 1

csc 2

sec 2

cot 1

30) Which of the following is equal to cos 27˚?

A) csc 63˚B) sec 63˚C) tan 63˚D) sin 63˚

31) Which expression represents the length of ?

F) 12cot27˚G) 12csc27˚H) 12sin27˚J) 12tan27˚

RS

32) If , what is ?

A)

B)

C)

D)

tan

3

4 cos

3

5

4

5

5

4

4

3