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## Trigonometry, Week 6

by: eshumaker1328

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# Trigonometry, Week 6 MTH 123 08

eshumaker1328
GVSU

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Notes from book are on here, otherwise the rest of the "notes" are on sheets she hands us in class
COURSE
Trigonometry
PROF.
Dr Meyering
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
Trigonometry
KARMA
25 ?

## Popular in Mathematics

This 2 page Class Notes was uploaded by eshumaker1328 on Thursday October 6, 2016. The Class Notes belongs to MTH 123 08 at Grand Valley State University taught by Dr Meyering in Fall 2016. Since its upload, it has received 4 views. For similar materials see Trigonometry in Mathematics at Grand Valley State University.

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Date Created: 10/06/16
Monday, October 3, 2016 Trigonometry, Week 6 2.5: Inverses of Circular Functions - Inverse Sine Function • x = sin y - y = arcsin (x) for -1 </= x </= 1 - y = sin ^-1 (x) for -pi/2 </= x </= pi/2 - Inverse Cosine Function • x = cos y - y = arccos (x) for -1 </= x </= 1 - y = cos ^-1 (x) for 0 </= x </= pi - Inverse Tangent Function • x = tan y - y = arctan (x) for x E all real numbers - y = tan ^-1 (x) for -pi/2 </= x </= pi/2 - Inverses of the Circular Functions • y = arcsin x —> sin y = x, -pi/2 </= y </= pi/2 • y = arccsc x —> cos y = x, -pi/2 </= y < 0 or 0 < y </= pi/2 • y = arctan x —> tan y = x, -pi/2 </= y </= pi/2 • y = arccot x —> cot y = x, 0 < y < pi • y = arccos x —> cos y = x, 0 </= y </= pi • y = arcsec x —> sec y = x, 0 </= y < pi/2 or pi/2 < y </= pi - the following relationships between the inverse of a function and the inverse of the related reciprocal function exist.. • csc ^-1 x = sin ^-1 (1/x) • sec ^-1 x = cos ^-1 (1/x) 1 Monday, October 3, 2016 • cot ^-1 x = (pi/2) - tan ^-1 x 2

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