Trigonometric Functions and Exact Value

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]

6-1 Inverse Trig Functions p. 468: 1-31 odd

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]

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]

6-2 Inverse Trig Functions Continued p. 474:1-41 odd

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 Trig Identities Worksheet: 1-6 all, 9, 13, 15, 19

I. Reciprocal Identities [pic]

II. Quotient Identities [pic]

III. Pythagorean Identities [pic]

Simplify each expression.
1. [pic] 2. [pic] 3. [pic]

4. [pic] 5. [pic] 6. [pic]

7. [pic]

6-3 Trig Identities p. 480: 1-29 odd, omit 3

I. Guidelines for Verifying Trig Identities A. Begin with the most complicated side B. Work on one side only C. Rewrite sums or differences of quotients as one single quotient D. Rewrite in terms of sine and cosine only E. Factor ( GCF or Difference of