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Name: _________________________________________
Period: ______ Weekly #4: Ch 8-9
REVIEW-DUE 5/19
Date: ____________________
Show all work for all questions. Due Tuesday 05/19/2015; Quiz Tuesday.
7
1. If sin 𝐴 = − 25 and <A terminates in Quadrant IV, tan A equals
7
7
(1) − 25
(2) − 24
(3) −
24
7
2. What is the number of degrees in an angle whose radian measure is
(1) 576
(2) 288
(3) 225
24
(4) − 25
8𝜋
?
5
(4) 113
3. An angle, P, drawn in standard position, terminates in Quadrant II if
(1) cos P < 0 and csc P < 0
(3) csc P > 0 and cot P < 0
(2) sin P > 0 and cos P > 0
(4) tan P < 0 and sec P > 0
4. What is the radian measure of an angle whose measure is -420⁰?
(1) −
7𝜋
3
(2) −
7𝜋
6
(3)
7𝜋
6
(4)
7𝜋
3
5. In right triangle ABC, hypotenuse AB = 10 and m<B = 53. Find AC to the nearest integer.
(1) 6
(2) 8
(3) 13
6. Show that that sec 𝜃 sin 𝜃 cot 𝜃 = 1 is an identity.
7. If the value of 𝑡𝑎𝑛𝜃 = −
10
9
and 𝑠𝑖𝑛𝜃 > 0, find the value of 𝑐𝑜𝑠𝜃
(4) 15
Name: _________________________________________
8. Given 𝑓(𝑥) =
4 cos 𝑥+sin 𝑥
,
2 cos 𝑥
Date: ____________________
find 𝑓(60)
9. List the three trigonometric Pythagorean identities:
10. Express as a monomial with a single trig function or a constant:
cot 𝑥
cos 𝑥
11. Solve algebraically for all exact values of x in the interval 0 ≤ 𝑥 < 2𝜋:
2cos2x + 5cosx = 3
Period: ______ Weekly #4: Ch 8-9
REVIEW-DUE 5/19