MAT 172 WCC Trig Identities Questions
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Trig Identities (Fundamental) Practice
Part 1. Write the trigonometric expression in terms of sine and cosine and then simplify:
1. sin u + cot u cos u
2.
cot ?
csc? ? sin ?
Part 2. Simplify the trigonometric expression:
3.
1 + sin u
cos u
+
cos u
1 + sin u
Part 3. Verify the identity:
4.
1
= 1 + tan 2 y
2
1 ? sin y
5.
(1 ? cos x )(1 + cot x ) = 1
2
2
Part 4. Make the indicated trigonometric substitution in the given algebraic expression and simplify. Assume 0 ? ? ?
6.
x ? 1, x = sec ?
2
?
2
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