Question: If tan (x + i.y) = 8 + i.theta, prove that theta^2 + fai ^2 = cos h.2y - cos. 2x/ cos 2x +

If tan (x + i.y) = 8 + i.theta, prove that theta^2

If tan (x + i.y) = 8 + i.theta, prove that theta^2 + fai ^2 = cos h.2y - cos. 2x/ cos 2x + cosh. 2y

Step by Step Solution

★★★★★

3.44 Rating (144 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The detailed ... 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

Students Have Also Explored These Related Mathematics Questions!

Q:

If x = in (sec + tan ), show that sec = cosh x.

Q:

Prove the identity. sinh 2x = 2 sinh x cosh x

Q:

If tan h x = 4/5, find the values of the other hyperbolic functions at x.

Q:

Can you please help me with questions 40 and 42. For 40, you have to find the interval of convergence. Thank so much! \fAT&T S 8:49 PM 01 42% SH CHAPTER 10 INFINITE SERIES EXAMPLE 4 Geometric Series...

Q:

Consider the Markov Chain, Xn, on the states i = 0, 1, 2, . . . with transition matrix given by pi,i1 = p i = 1, 2, . . . pi,i+1 = 1 p i = 0, 1, . . . p0,0 = p where 0

Q:

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

Q:

Portray in words what transforms you would have to make to your execution to some degree (a) to accomplish this and remark on the benefits and detriments of this thought.You are approached to compose...

Q:

Prolog You are approached to compose a Prolog program to work with twofold trees. Your code shouldn't depend on any library predicates and you ought to expect that the mediator is running without...

Q:

Can you please help with 54, 65, and 68. Thanks so much! :) \fAT&T 4:15 PM 31% SECTION 4.4 The Second Derivative and Concavity 245 67. An infectious flu spreads slowly at the beginning of an epi-...

Q:

Need some help on this discussion, I'm not really good at solving trig questions. Pick any expression in the screenshot. Instructions To prove an expression, you pick one side of an expression and...

Q:

The fire tube of a hot water heater consists of a long circular duct of diameter D = 0.07 m and temperature T s = 385 K, through which combustion gases flow at a temperature of T m, g = 900 K. To...

Q:

It is easier to get a good draft in a chimney on a windy day than when the outside air is still, all other things being equal. Why?

Q:

When a company accrued salaries at the end of the accounting period it's Debt to equity ratio increases acid test ratio increases current ratio increases debt to equity ratio decreases

Q:

Astro Languet established Languet Products Co. as a sole proprietorship on January 5, 2014. At the company's year end of December 31, 2014, the accounts had the following balances (in thousands): A...

Q:

Multiple Choice Questions 1. Which of the following is (are) correct about the holding period of the property acquired by a partnership as a contribution to the contributing partner's capital...

Q:

SafeData Corporation has the following account balances and respective fair values on June 30: Privacy First, Inc., obtained all of the outstanding shares of SafeData on June 30 by issuing 20,000...

Q:

Nowell Inc. had the following stock issued and outstanding at January 1, 2018: 1. 150,000 shares of no-par common stock. 2. 30,000 shares of $50 par, 4 percent, cumulative preferred stock. (Dividends...

Q:

The partnership of Wilson, Martinez, and Anderson is to be liquidated as of June 30 of this year. The partners share profits and losses in the ratio of 2: 2: 1, respectively. The firms post- closing...

Q:

Orange Incorporated issued 21,000 nonqualified stock options valued at $42,000 (in total). The options vest over two yearshalf in 2023 (the year of issue) and half in 2024. One thousand options are...

Q:

Use Osborne's rule to write down the hyperbolic counterparts of the following trigonometric identities. 1. sinx = (1 - cos 2x) 3. cosx = (1 + cos2x) 5. tan 2x = 13. 1 2 tan x Use the definitions of...

Q:

2.5 EXERCISES 1-6 . Write the composite function in the form f(g(x)). 15. y = x sec kx 16. y = 3 cot ne [Identify the inner function u = g(x) and the outer function y = f(u).] Then find the...

Q:

y' + 2y = 4 cos2x, y(1/4 pi) = 2 From, Advanced Engineering Mathematics byErwin Kreyszig 1.5 Problem 8 0.0 KBps X Page 9 0.0 KBps ZOOM + A few further population models will be discussed in the...

Q:

Please answer the following. Write only the answers. URGENT!! Thanks INTEGRAL CALCULUS... OH+ +c O-+ + +c O -1-+C O None of the above 2. What is the antiderivative of (2 Points) O 2r + 4 Inixl + 4 +...

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 solve the following problems with the method mentioned in their respective heading Section 3.5: problem. 7, 12. In Problems 1-26, solve the given differential equation by 28. 2y" + 3y' - 2y =...