PP 7.6 - Inverse Trigonometric Functions The Sine Function...

Info iconThis preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Inverse Trigonometric Functions The Sine Function Domain = (-, ) Range = [-1, 1] Period = 2 NOT one-to-one Need to restrict the domain to have an inverse function. One-to-One Sine Function One to- One 1] [-1, Range ] , [- Domain 2 2 = = Definition x y y x x x f x x x f = = = = - =-- ) sin( ) arcsin( ) ( sin ) ( Then . ), sin( ) ( Let 1 1 2 2 y = sin(x) y = arcsin(x) The Other Functions ) arctan( ) ( tan ) ( , ), tan( ) ( ) arccos( ) ( cos ) ( , ), cos( ) ( 1 1 2 2 1 1 x x x f x x x f x x x f x x x f = = < <- = = = =---- y = arcccos(x) y = arctan(x) The Other Functions Secant, cotangent, and cosecant can also be redefined with restricted domains in order to get one-to-one functions and then get inverse functions. The restricted domains for these three functions are not standard as for sine, cosine, and tangent, so be careful when working with them. Cancellation Laws 2 2 1 1 , )) (sin( sin 1 1 , )) ( sin(sin...
View Full Document

Page1 / 15

PP 7.6 - Inverse Trigonometric Functions The Sine Function...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online