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Mathorio

Worksheet

Pythagorean Identities

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Show your work for each problem.

1.
What is the fundamental Pythagorean identity?
1. a)
2. b)
3. c)
4. d)
2.
Which identity is ?
1. a)Quotient identity
2. b)First Pythagorean identity
3. c)Second Pythagorean identity
4. d)Third Pythagorean identity
3.
If , what is ?
4.
Simplify:
5.
If and is in Quadrant I, what is ?
1. a)
2. b)
3. c)
4. d)
6.
If and is in Quadrant IV, find . Enter as a fraction (e.g., -3/5).
7.
Derive from the fundamental identity.
8.
Simplify:
1. a)
2. b)
3. c)
4. d)
9.
If and is in Quadrant III, find .
10.
Simplify: (Hint: Use the identity to factor)
11.
Verify the identity:
12.
If , what is ?
1. a)
2. b)
3. c)
4. d)
13.
Simplify:
14.
What is ?
1. a)
2. b)
3. c)
4. d)
15.
If and is in Quadrant I, find . Enter as a fraction.