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

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

Step by Step Solution

★★★★★

3.51 Rating (174 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Let y tan 1 x Then tan y x so from the triangle w... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

786-C-D-E (549).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Q:

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

Q:

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

Q:

Show that the equation 2x 1 sin x = 0 has exactly one real root.

Q:

Show that sin1 (tanh x) = tan1 (sinh x).

Q:

Determine whether the following statements are true and give an explanation or counterexample. a. sin (a + b) = sin a + sin b. b. The equation cos = 2 has multiple real solutions. c. The equation...

Q:

If tanh x 3 sinh x cosh x 1 coth x 41 9 sech x 40 41 csch x 40 9 9 40 find the values of the other hyperbolic functions at x X X x X X

Q:

7/4/23, 11:16 PM Homework 8.7-Anh Nguyen Use a table of integrals to determine tv7t+ 19 at. Click here to view page 1 of the integral table. " Click here to view page 2 of the integral table. 14...

Q:

Show STEP BY STEP solution. With readable and understandable solution, please! Thank you. Evaluate the following: 1 . dx csch (cot-1 v) 11. V1 - 4x2 1 + v2 2 . dt 12. 5'ecsch(50) csch (5") coth (5')...

Q:

State the derivative of each function. (a) y = xn (b) y = ex (c) y = ax (d) y = In x (e) y = loga x (f) y = sin x (g) y = cos x (h) y = tan x (i) y = csc x (j) y = sec x (k) y = cot x (l) y = sin-1 x...

Q:

There are several ways to express the indefinite integral of sech x. a. Show that sech x dx = tan -1 (sinh x) + C (Theorem 6.9). Write and then make a change of variables. b. Show that sech x dx =...

Q:

Explain the following in your own words: Which network topology is the best for a school? Also, which means of transmission should be used? Note: This question has 2 parts. In first part you have to...

Q:

If an object has no acceleration in an inertial reference frame, can you conclude that no forces are acting on it?

Q:

Discuss the application of finance theory in the overall financial management of companies Kenya.

Q:

23. A project manager had a complex problem to solve and facilitated a team decision about what needed to be done. A few months later, the problem resurfaced. What did the project manager most likely...

Q:

(a) Use the Quotient Rule to differentiate the function f(x) = tan x - 1/ sec x (b) Simplify the expression for by writing it in terms of sin x and cos x, and then find f'(x). (c) Show that your...

Q:

A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of motion is x(t) = 8 sin t, where is in seconds and in centimeters. (a) Find the velocity and...

Q:

Differentiate each trigonometric identity to obtain a new (or familiar) identity. (a) tan x = sin x / cos x (b) sec x = 1/cos x (c) sin x + cos x = 1 + cot x/csc x

Q:

Business Description You will assume the role of an entrepreneur to start a small company. Your company will rent a retail cart inside the Mall of America to imprint T-shirts with exclusive original...

Q:

In order to be able to buy the new machine, you take a loan of 2 million from the bank, which you want to pay back in 8 years. Your payments are always made at the end of everyyear. The annual...

Q:

Find the indicated area under the standard normal curve to the right of z = 3.25.