Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
Simplify the expression.
$ \tan (\sin^{-1} x) $
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Heather Zimmers
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
02:13
Jeffrey Payo
Calculus 1 / AB
Calculus 2 / BC
Calculus 3
Chapter 1
Functions and Models
Section 5
Inverse Functions and Logarithms
Functions
Integration Techniques
Partial Derivatives
Functions of Several Variables
Johns Hopkins University
Missouri State University
Campbell University
Boston College
Lectures
04:31
A multivariate function is a function whose value depends on several variables. In contrast, a univariate function is a function whose value depends on only one variable. A multivariate function is also called a multivariate expression, a multivariate polynomial, a multivariate series, or a multivariate function of several variables.
12:15
In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.
01:01
01:03
01:11
Simplify the given express…
02:02
Rewrite the expression as …
02:48
okay. We want to simplify this expression. Tangent of inverse sign of X in verse. Sign of X means the angle. Who signed his ex? I'm going to call that angle theta, so let's draw a reference triangle for data. So let's suppose this is angle Fada and we know it's sign is X. That means the opposite over high pot news is X so we could make the opposite X and the high pot noose. One X divided by one is X. Now we need the tangent of angle. Fada tangent is opposite over adjacent, so we need to find the length of the adjacent for right now I'm going to call it a and I'm going to use the Pythagorean theorem to find it. A squared plus X squared equals one squared, so a squared equals one minus X squared. So a is the square root of one minus X squared. All right, so now the tangent of that angle is the opposite X over the adjacent square root of one minus X squared
View More Answers From This Book
Find Another Textbook
01:34
A culture of bacteria is growing in such a way that the number of bacteria i…
06:55
A consulting company would like to develop a method of predicting its total …
01:39
Assume that one year ago, the spot rate of the British pound was $1.40. One …
Starting in the year 2000, the number of crimes committed each year in Middl…
02:41
What is the future value of $25 a week for 40 years at 8.5 percent interest?…
02:50
What is the present value of a $1,650 payment made in six years when the…
07:00
Your agency is paid on a traditional 15 percent media commission. You purcha…
03:05
A bottle contains 750 ml. of fruit punch with a concentration of 50% pure fr…
