Name:
Math 1650 Section 622
Exam number 3
Show all work. How you get your answer is just
as important, if not more important, than the
answer itself. If you think it, write it!
- 1.
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Find the following values (5 pts. each):
(a) cos([(3p)/4])
(b) tan([(8p)/3])
(c) arcsin([(-1)/2])
(d) tan(arcsin([3/8])
(e) sin([(p)/12])
( Hint: [(p)/12] = [1/2]([(p)/6]) )
(f) cos([(p)/6]-arcsin([1/3]))
- 2.
-
Verify the following trigonometric identity (15 pts.):
sec4 x-tan4 x = 2sec2 x-1
- 3.
-
(20pts.) Find the solutions (in [0,2p]) of the equation
3cotx + 2sinx = 0
- 4.
-
Use trigonometric identities to write
f(x) = (sinx+cosx)2
-
-
as a stretched, translated trig function, and sketch a graph of it. (20 pts.)
- 5.
-
Express
sin(3x)
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-
in terms of sinx and cosx. (15 pts.)
File translated from TEX by TTH, version 0.9.