Sal introduces arcsine, which is the inverse function of sine, and discusses its principal range. The meaning of an inverse trigonometric function. The range of arcsin x. The range of arccos x. The range of arctan x. The range of arccsc x. The range of arcsec. Thanks to all of you who support me on Patreon. You da real mvps! \$1 per month helps!!:) n. Author: Jamar Gibson Country: Croatia Language: English Genre: Education Published: 12 May 2016 Pages: 494 PDF File Size: 26.11 Mb ePub File Size: 6.25 Mb ISBN: 335-7-65751-624-1 Downloads: 74635 Price: Free Uploader: Jamar Gibson The only difference is the negative sign. Inverse Tangent Here is the definition of the inverse tangent. To convince yourself that this range will cover all possible values of tangent do a quick sketch of the tangent function and we can see that in inverse of trig functions range we do indeed cover all possible values of tangent. This is shown below. Sincethe ISO standard has removed the ambiguity by solely specifying the "arc" prefix for the inverse functions.

Principal values[ edit ] Since none of the six trigonometric functions are one-to-onethey are restricted in order to have inverse functions. Therefore the ranges of the inverse functions are proper subsets of the domains of the original functions. Worse still, the principal value and multiply valued inverse of trig functions are sometimes reversed, with for example denoting the principal value and denoting the multivalued functions Spanier and Oldhamp.

In Problem 1 we were solving an equation which yielded an infinite number of solutions. So, to make sure we get a single value out of the inverse trig cosine function we use the following restrictions on inverse cosine.

inverse of trig functions

• 7. The Inverse Trigonometric Functions
• Inverse trigonometric functions - Topics in trigonometry
• Inverse Trigonometric Functions
• 7. The Inverse Trigonometric Functions

All we need to do is look at a unit circle.