222 The unit circle and radian measure (Chapter 8)
3 Find:
a sin 159± if sin 21±¼ 0 : 358 b cos 92± if cos 88±¼ 0 : 035
c cos 75± if cos 105±¼¡ 0 : 259 d sin(¡ 133 ±) if sin 47±¼ 0 : 731
4 Determine the area of a sector of angle^512 ¼and radius 13 cm.
5 Use the unit circle to findμsuch that cosμ=¡sinμ, 06 μ 62 ¼.
6 Find exact values for sinμ, cosμ, and tanμ forμequal to:
a 360 ± b^23 ¼ c ¡¼ d^83 ¼
7 If cosμ=^34 find the possible values of sinμ.
8 Evaluate:
a 2 sin(¼ 3 ) cos(¼ 3 ) b tan^2 (¼ 4 )¡ 1 c cos^2 (¼ 6 )¡sin^2 (¼ 6 )
9 Given tanx=¡^32 and^32 ¼<x< 2 ¼, find: a
10
Find the perimeter and area of the sector.
11 Suppose cosμ=
p
p^11
17 andμis acute. Find the exact value oftanμ.
12 Find all angles between 0 ±and 360 ±which have:
a a cosine of¡
p
3
2 b a secant of
p
2 c a cotangent of ¡p^13
13 Findμfor 06 μ 62 ¼ if:
a cosμ=¡ 1 b sin^2 μ=^34
14 If sinx=¡^14 and ¼<x<^32 ¼, find the otherfivetrigonometric ratios exactly.
Review set 8B
1 Convert these radian measurements to degrees:
a^25 ¼ b^54 ¼ c^79 ¼ d^116 ¼
2 Illustrate the regions where sinμ and cosμ have the same sign.
3 Use a unit circle diagram to find:
a cos(^32 ¼) and sin(^32 ¼) b cos(¡¼ 2 ) and sin(¡¼ 2 )
4 Suppose m= sinp, wherepis acute. Write an expression in terms ofmfor:
a sin(¼¡p) b sin(p+2¼) c cosp d tanp
4
1 c
cosx b sinx.
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Additional Mathematics
Y:\HAESE\CAM4037\CamAdd_08\222CamAdd_08.cdr Friday, 24 January 2014 3:24:02 PM BRIAN