1. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objective Evaluate trigonometric expressions involving inverses. 13.6 Inverses of Trigonometric Functions

2. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Glossary Term principal values 13.6 Inverses of Trigonometric Functions

3. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Rules and Properties Principle Values of Sin , Cos , and Tan  13.6 Inverses of Trigonometric Functions Sin  = sin  for –90º    90º Cos  = cos  for 0º    180º Tan  = tan  when –90º    90º

4. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Rules and Properties Inverse Trigonometric Functions 13.6 Inverses of Trigonometric Functions y = Sin xy = Sin –1 x y = Cos xy = Cos –1 x y = Tan xy = Tan –1 x FunctionInverse

5. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills Evaluate trigonometric expressions involving inverses. 13.6 Inverses of Trigonometric Functions For 0º    360º: and Find all possible values of. tan –1 33 3 tan 30º 33 3 = possible values: 30º + n360º and 210º + n360º tan 210º 33 3 =

6. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills Evaluate composite trigonometric functions. 13.6 Inverses of Trigonometric Functions sin= sin 150º = 1 2 Cos –1 () – 33 2 TOC