MTH 108 Chapter Notes - Chapter 8: Inverse Trigonometric Functions, Precalculus, Inverse Function

• School: University of Miami
• Department: Mathematics
• Course: MTH 108
• Professor: Lun- Yi Tsai

Document Summary

8. 1 the inverse sine, cosine, and tangent functions notes: sterling. Inverse sine function y = sin 1 (x) x = sin (y) Properties f 1 (f (x)) = sin 1 (sin (x)) = x. 2 f (cid:0)f 1 (x)(cid:1) = sin (cid:0)sin 1 (x)(cid:1) = x. 0 y f 1 (f (x)) = cos 1 (sin (x)) = x. 0 x f (cid:0)f 1 (x)(cid:1) = sin (cid:0)sin 1 (x)(cid:1) = x. Properties y = tan 1 (x) x = tan (y) 2 f 1 (f (x)) = tan 1 (tan (x)) = x. 2 f (cid:0)f 1 (x)(cid:1) = tan (cid:0)tan 1 (x)(cid:1) = x. 8. 2 the inverse trigonometric functions (continued) notes: sterling. What are the two main functions? f 1 (f (x)) = x f (cid:0)f 1 (x)(cid:1) = x. What are the properties of those two functions: f 1 (f (x)) = x and f (cid:0)f 1 (x)(cid:1) = x.