Precal
Review Worksheet (5.1-5.2)
Simplify.
1. (Hint: Factor out GCF)
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2. (Hint: Factor out GCF)
cos3 x + cos x sin 2 x
tan 2 x cos2 x − sin 2 x tan 2 x cos2 x
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2
3.
4.
sec(−x)cos(−x)
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1− cos x
sin x
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2
5.
2
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2
sin x + tan x + cos x
sec x
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Find all solutions in the interval [0,2π ) .
6. tan x sin x − sin x = 0
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7.
2cos x sin x − sin x = 0
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Prove the identity.
8.
sec x
cot x = 1
csc x
10.
1
1
+ = 2sec 2 x
1− sin x
1+ sin x
9.
tan x + cot x = sec x csc x