Show that sin -1 (tanh x) = tan -1 (sinh x).

Question:

Show that sin^-1(tanh x) = tan^-1(sinh x).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

See More Books

Question Posted: Dec 31, 2020 01:13 AM

Show that the curve r = sin tan (called a cissoid of Diocles) has the line x = 1 as a vertical asymptote. Show also that the curve lies entirely within the vertical strip 0 < x < 1. Use these facts...
Show that the curve r = sin tan (called a cissoid of Diocles) has the line x = 1 as a vertical asymptote. Show also that the curve lies entirely within the vertical strip 0 x < 1. Use these facts...
Show that the equation 2x 1 sin x = 0 has exactly one real root.
Evaluate the derivatives of the following functions. (z) = cot -1 z
The rope supports a lantern that weighs 50 N. Is the tension in the rope less than, equal to, or more than 50 N? Use the parallelogram rule to defend your answer.
Stronghold Money Fund is a relatively new money market fund with about $400 million in total financial assets and shares outstanding (each maintained at a value of $1.00 per share). Most of the funds...
The temperature and pressure of air are $30^{\circ} \mathrm{C}$ and $1 \mathrm{~atm}$ respectively. The mass of air behaving ideally contained in a room of size \(5 \mathrm{~m} \times 5...
Yukon Bike Corp. manufactures mountain bikes and distributes them through retail outlets in Canada, Montana, Idaho, Oregon, and Washington. Yukon Bike Corp. has declared the following annual...
Explain what a Futures Contract is. What are the five important components of a Futures Contract? What assets might be underlining the assets of a Futures Contract? Identify the main advantages of a...
1. How should Ruby approach this briefing? Should she explain each mode of transportation or should she discuss only the concept of intermodal transportation? Explain your recommendation; why do you...
Write 8 sinh x + 5 cosh x in terms of e x and e x .
Verify the given linear approximation at a = 0. Then determine the values of for which the linear approximation is accurate to within 0.1. tan 1
During the 2014 Olympic games, snowboarder Shaun White rose 6.4 m vertically above the rim of the half-pipe. With what speed did he launch from the rim?
How does a collateralized mortgage obligation alter the cash flow from mortgages so as to shift prepayment risk across various classes of bondholders?
What is the difference between a hard and soft call in a convertible bond issue?
a. How is contribution to portfolio duration computed? b. How is the result interpreted?
Explain why you agree or disagree with the following statement: By creating a CMO, an issuer eliminates the prepayment risk associated with the underlying mortgages.
The valuation of convertible bonds is driven by what four fundamental factors?
Following are the auditor's calculations of several key ratios for Cragston Star products. The primary purpose of this information is to understand the client's business and assess the risk of...
What kind of financial pressures can an LBO cause?
If two resistors with resistances R1 and R2 are connected in parallel, as in the figure, then the total resistance R, measured in ohms (Î©), is given by 1/R = 1/R1 + 1/R2 If R1 and R2 are...
Two sides of a triangle have lengths 12 m and 15 m. The angle between them is increasing at a rate of 2/min. How fast is the length of the third side increasing when the angle between the sides of...
A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Also,...
Thanasi has a business snowplowing. He uses a 2018 Ford Rapture with a snowplow outfitted to it. While plowing a driveway, he negligently ran it into the side of the neighbour's house. The damage to...
Mary was so excited about the holiday shopping season that she could hardly wait for the Black Friday sales. She got up early and spent all day at her favorite store, Mega Deals, shopping. Mary was...
This can be done as a group or individually. If done in a group, all group members must submit a copy of this assignment to receive a grade. If you were to open a business, what type of business...

Show that sin -1 (tanh x) = tan -1 (sinh x).

Question:

Step by Step Answer:

Let y tan 1 Then tan y so from the tri...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions