Question: Given that tan (x iy) = cosh (u iu) prove that tanh u *tan u = cosec 2x * sinh2y

Given that tan (x iy) = cosh (u iu) prove that tanh u *tan u = cosec 2x * sinh2y

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock 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

Students Have Also Explored These Related Mathematics Questions!

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:

Please #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 1-4 Evaluate the integral using integration by parts with the 9. f w In w dw 10. In x -2 . dx indicated choices of u and du. 1. (xedx; u = x, du...

Q:

Please #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 1-4 Evaluate the integral using integration by parts with the 9. f w In w dw 10. In x -2 . dx indicated choices of u and du. 1. (xedx; u = x, du...

Q:

Please #27, 29, 31, 33, 35, 37, 39, 41,45, 57, 61, 69, 77 1-4 Evaluate the integral using integration by parts with the 9. f w In w dw 10. In x -2 . dx indicated choices of u and du. 1. (xedx; u = x,...

Q:

4 This assignment, based on the content of Unit 4 of the Study Guide, is worth 3% of your grade. We recommend that you hand it in after you complete Unit 4. You must show all of your work in order to...

Q:

EXAMPLE 9 Since f(x) = (tan x)/ (1 + x2 + x4) satisfies f(-x) = -f(x), it is odd and so tan x -1+12 + , 4 dx =0 4.5 EXERCISES 1-6 Evaluate the integral by making the given substitution. dt 23. /1+ 23...

Q:

EXAMPLE 9 Since f(x) = (tan x)/ (1 + x2 + x4) satisfies f(-x) = -f(x), it is odd and so tan x -1+12 + , 4 dx =0 4.5 EXERCISES 1-6 Evaluate the integral by making the given substitution. dt 23. /1+ 23...

Q:

13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57 -> please show all work 402 Chapter 5 Analytic Trigonometry See www.CaleChat.com for worked out solutions to odd mambe, 5.4 EXERCISES In Exercises...

Q:

(8%) Problem 4: A skateboarder is attempting to make a circular arc of radius y = 12 m in a parking lot. The total mass of the skateboard and skateboarder is m = 78 kg. The coefficient of static...

Q:

Kindly write in a neat and organize way. Instruction: using the topic of Homogeneous in differential equation choose at least 6 questions on the attached picture. Answer were already given. I need...

Q:

Assume that an exhaled breath of air consists of 74.8% N2, 15.3% O2, 3.7% CO2 and 6.2% water vapor. (a) If the total pressure of the gases is 0.985 atm, calculate the partial pressure of each...

Q:

Caught in an avalanche, a skier is fully submerged in flowing snow of density 96 kg/m3. Assume that the average density of the skier, clothing, and skiing equipment is 1020 kg/m3. What percentage of...

Q:

The weight of a box of apples is 5 kg , accurate to the nearest kg . T find out the weight. a ) Maximum absolute error b ) Relative error c ) Percent error

Q:

The table below shows how Brett's utility increases as the number of avocados he consumes (per month) increases. Brett's utility is measured in utils, a name that economists invented to describe...

Q:

A hanging potted plant is suspended by a cord from a hook in the ceiling. Draw an FBD for each of these: (a) The system consisting of plant, soil, and pot; (b) The cord; (c) The hook; (d) The system...

Q:

A pulley is hung from the ceiling by a rope. A block of mass M is suspended by another rope that passes over the pulley and is attached to the wall. The rope fastened to the wall makes a right angle...

Q:

The velocity vector of a sprinting cheetah has x - and y -components vx = + 16.4 m/s and vy = 26.3 m/s. (a) What is the magnitude of the velocity vector? (b) What angle does the velocity vector make...

Q:

Vector B has magnitude 7.1 and direction 14below the + x -axis. Vector C has x -component C x = 1.8 and y -component C y = 6.7. Compute (a) The x - and y- components of B; (b) The magnitude and...

Q:

Question 7 . Given the following simple maze, convert the maze into a graph. ( 5 points ) Question 8 . Implement depth first search in the maze function in homework 1 . py . ( 2 0 points ) Question 9...

Q:

3. List four goals that are important to you. Then set up the roles that correspond to these goals. How will you shape your personal vision as a result of your goals and roles?

Q:

1. What does this mean for me?

Q:

2. Think of a person you really appreciate and who is a role model for you, such as something you admire for what the person does or has done (historical people, friends, family, from fairy tales,...