10 precalculus questions show work

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MAT 206 981 Chapter 4 Homework

(Answer all questions. Questions 1-8 each carries two points. Ninth question is worth 4 points. Tenth question is worth 5 points. Except for the first question complete work must be shown for other questions to get full credit.

1.Describe as true or false.

If which of the following is true?

a) Sin t > 0 and tan t > 0

b) Sin t < 0 and tan t < 0

c) tan t > 0 and cot t > 0

d) tan t <0 and cot t < 0

2 A circle has a radius of 18 inches. Find the length of the arc intercepted by a central angle of

3. A point on the terminal side of an angle is given. Find the exact value of the six trigonometric functions. Rationalize the denominator where necessary.

4. Find the exact value of a) b)

Rationalize the denominator where necessary

5.

Given that and find the exact values of

Rationalize the denominator where necessary

6. A building that is 21 meters tall casts shadow 25 meters long. Find the angle of elevation of the sun to the nearest degree.( use calculator)

7. Carry out each operation and simplify"

a) b)

8. Find the amplitude, period and phase shift of the function

9. Find the exact value of a) b)

10. Graph over one period interval

(5,2)

-

tan330

o

59

sec

6

p

3

tan

2

q

=

cos0

q

<

sin, sec

qq

2

1(sincos)

sin

qq

q

--

1cossin

sin1cos

tt

tt

+

+

+

2

4sin()

3

yx

p

=--

1

2

cos(tan)

3

-

1

1

sin(cos())

4

-

-

1

3cos

2

yx

=

3

2

t

p

p

<<

210

o

q