Trigonometric Identities
Trigonometric Identities
I. Pythagorean Identities
A. [pic]
B. [pic]
C. [pic]
II. Sum and Difference of Angles Identities
A. [pic]
B. [pic]
C. [pic]
D. [pic]
E. [pic]
F. [pic]
III. Double Angle Identities
A. [pic]
B. [pic]
=[pic]
=[pic]
C. [pic]
IV. Half Angle Identities
A. [pic]
B. [pic]
C. [pic]
Inverse Trig Functions
A. [pic]
B. [pic]
C. [pic]
Find the exact value of each expression
1. [pic] 2. [pic] 3. [pic]
4. [pic] 5. [pic] 6. [pic]
Use a calculator to find each value.
7. [pic] 8. [pic] 9. [pic]
Find the exact value of each expression.
10. [pic] 11. [pic] 12. [pic]
I. Inverse Trig Functions
A. [pic]
B. [pic]
C. [pic]
Find the exact value of each expression.
1. [pic] 2. [pic] 3. [pic]
4. [pic] 5. [pic] 6. [pic] 7. [pic]
Find the exact value of each.
8. [pic] 9. [pic] 10. [pic]
Use a calculator to find each value.
11. [pic] 12. [pic]
Trigonometric Identities
Simplify each expression.
1. [pic] 2. [pic] 3. [pic]
4. [pic] 5. [pic] 6. [pic]
7. [pic]
Verify each identity.
1. [pic] 2. [pic]
3. [pic] 4. [pic]
5. [pic] 6. [pic]
7. [pic]
Sum and Difference Formulas
I. Sum and Difference Identities
A. [pic]
B. [pic]
C. [pic]
D. [pic]
E. [pic]
F. [pic]
Find the exact value of each expression.
1. [pic] 2. [pic] 3. [pic] 4. [pic]
5. [pic] 6. [pic]
Find each of the following.
a) [pic] b) [pic]
7. [pic]
[pic]
8. Verify:
[pic]
Double-Angle and Half-Angle Identities
Find the exact value of each expression.
a) [pic] b) [pic] c) [pic]
1. [pic] 2. [pic]
Use the half angle identity to find each exact value.
3. [pic] 4. [pic]
Find the exact value.
5. [pic] 6. [pic]
Trig Equations (I)
Solve each equation for [pic].
1. [pic] 2. [pic] 3. [pic]
4. [pic] 5. [pic] 6. [pic]
7. [pic] 8. [pic]
Trig Equations
Solve for [pic].
1. [pic] 2. [pic] 3. [pic]
4. [pic] 5. [pic] 6. [pic]
7. [pic] 8. [pic]
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