M175-T1-P2-Remote-11.doc

Spring 2020 Name: ______________________________

MATH 175 – Test 2 (Show Your Work )

7. Given

image1.wmf

5

cos2

18

q

=-

and
image2.wmf

180270

q

<<

oo

, find values of
image3.wmf

sin

q

and
image4.wmf

cos

q

.

8. Verify that each of the following is a trigonometric identity.

image5.wmf

22

1sin

sec2sectantan

1sin

q

qqqq

q

-

=-+

+

9. Give the exact value of

image6.wmf

4

cos2arctan

3

æö

ç÷

èø

without using a calculator.

10. Solve

image7.wmf

2cos2cos2

qq

=

for all exact solutions in degrees.

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