Show that arctan(sinh x) = arcsin(tanh x).
Question:
Show that
arctan(sinh x) = arcsin(tanh x).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (7 reviews)
Let y arcsintanh x Then et e...View the full answer
Answered By
PALASH JHANWAR
I am a Chartered Accountant with AIR 45 in CA - IPCC. I am a Merit Holder ( B.Com ). The following is my educational details.
PLEASE ACCESS MY RESUME FROM THE FOLLOWING LINK: https://drive.google.com/file/d/1hYR1uch-ff6MRC_cDB07K6VqY9kQ3SFL/view?usp=sharing
3.80+
3+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Show that d/dx 4 1 + tanh x/1- tanh x = 1/2e x/2 .
-
The hyperbolic sine function is defined as sinh x = e x - e -x /2 a. Determine its end behavior by analyzing and b. Evaluate sinh 0. Use symmetry and part (a) to sketch a plausible graph for y = sinh...
-
Prove the identity. (a) Sinh (-x) = -sinh x (This shows that sinh is an sod function.) (b) cosh x + sinh x = ex (c) sinh(x + y) = sinh x cosh y + cosh x sinh y
-
The stockholders' equity accounts of Marya Corporation on January 1, 2014, were as follows. Preferred Stock (9%, $100 par, cumulative, 5,000 shares authorized) ...$300,000 Common Stock ($3 stated...
-
On January 1, 2011, Vick Leasing Inc., a lessor that uses IFRS, signed an agreement with Rock Corporation, a lessee, for the use of a compression system. The system cost $415,000 and was purchased...
-
Differentiation isn't the only operation that can be performed on functions. In this problem, we'll consider the operator \(\hat{S}\) that takes the form \[\begin{equation*}\hat{S}=-i x \frac{d}{d x}...
-
A researcher hypothesizes that drivers who use cellular phones will get into a greater number of traffic accidents than drivers who do not use these phones. For this example, a. What are the...
-
The Fisher Apparel Company balance sheet for the year ended 2006 is as follows: a. What is Fisher's investment in current assets? b. Determine Fisher's working capital investment. c. Determine...
-
On December 31, 2023, Berclair Incorporated had 400 million shares of common stock and 7 million shares of 9%, $100 par value cumulative preferred stock issued and outstanding. On March 1, 2024,...
-
Forten Company's current year income statement, comparative balance sheets, and additional information follow. For the year, (1) all sales are credit sales, (2) all credits to Accounts Receivable...
-
In Exercises prove the differentiation formula. d. [cosh x] = sinh x dx
-
From the vertex (0, c) of the catenary y = c cosh(x/c) a line L is drawn perpendicular to the tangent to the catenary at point P. Prove that the length of L intercepted by the axes is equal to the...
-
A convertible bond with a par value of $1,000 has a conversion ratio of 19.2. What is the conversion price?
-
In symmetrical-component theory, express the complex-number operator \(a=1 \angle 120^{\circ}\) in exponential and rectangular forms.
-
IAS 10 deals with events after the reporting period. Required: (a) Define the period covered by IAS 10. (b) Explain when the financial statements should be adjusted. (c) Why should non-adjusting...
-
In a three-phase Y-connected system with a neutral, express the neutral current in terms of phase currents and sequence-component terms. \(I_{n}=\)____________ \(=\)____________.
-
A research report7 found that users were worried about the lack of comparability among segment-al disclosures of different companies following the issue of IFRS 8. Discuss: (a) why it should have...
-
For a balanced- \(\Delta\) load with per-phase impedance of \(Z_{\Delta}\), the equivalent Y-load has an open neutral; for the corresponding uncoupled sequence networks, \(Z_{0}=\)____________...
-
Using the Explore procedure, separate the statistics for AGEKDBRN for men and women, selecting SEX as a factor variable in the Explore window. Click on Analyze, Descriptive Statistics, Explore, and...
-
Doorharmony Company makes doorbells. It has a weighted- average cost of capital of 5% and total assets of $ 5,900,000. Doorharmony has current liabilities of $ 750,000. Its operating income for the...
-
One or fewer out of four offspring are tall. Suppose that the allele A for height is dominant, meaning that plants with genotypes AA and Aa are tall, while those with genotype aa are short. If an Aa...
-
2 min. Starting with five molecules, each leaving with probability 0.2 per minute, compute and graph the probability distribution describing the number remaining at the following times.
-
5 min. Starting with five molecules, each leaving with probability 0.2 per minute, compute and graph the probability distribution describing the number remaining at the following times.
-
1. Explain what the required return is. (10 points) Problem 2: Describe the dividend growth model. (15 points) Problem 3: Explain the concept of cost of debt (12 points) Problem 4: How does the study...
-
Covertible bonds generally carry lower coupon interest rates than do non convertibles bonds. if this is so, does it mean that the cost of capital on convertible bonds is lower than on non...
-
1.) You deposit $2500 into a retirement account at the age of 20, making an average of 2% annual return. How much will you have at the age of 65? 2.) You are trying to decide if you have enough money...
Study smarter with the SolutionInn App