Precalculus
Worksheet (5.1-5.2)
Name: _______________________
Simplify.
1.
sin x
1+ cos x
+
1+ cos x
sin x
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tan x + cot x
sec x csc x
4.
sec 2 x csc x
sec 2 x + csc 2 x
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3.
1
1
−
sec x −1 sec x + 1
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Find all solutions to the equations in the interval
5.
[0,2π ) .
6.
2
sin x tan x = sin x
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2.
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2sin 2 x + 3sin x = 2
Verify each identity.
7.
1− sin x
cos x
+
= 2sec x
cos x
1− sin x
8.
sec 2 x −1
sin x
= sin x
1− sin 2 x
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9.
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sec x − csc x
= sin x − cos x
sec x csc x
10.
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1− cot 2 x
+ 2cos 2 x = 1
2
1+ cot x