Question: Prove the identity: (sec A cos A). (cot A + tan A) = tan A . sec A.

Prove the identity: (sec A – cos A). (cot A + tan A) = tan A . sec A.

Step by Step Solution

★★★★★

3.32 Rating (149 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The detailed answer ... 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:

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

Q:

[Note to teachers and students: This Gizmo was designed as a follow-up to the Circuits Gizmo. We recommend doing that activity before trying this one.] Vocabulary: circuit breaker, equivalent...

Q:

Prove statement 3 and 4 of Theorem A using Theorem 1.3A. Theorem 1.3A For every real number c in the function's domain, lim sint sin c lim cos t = cos c lim tan t = tan c lim cot t cot c lim sect =...

Q:

Consider the real projective n-space RP" obtained by identifying each point S" with its antipode -r. (a) Compute its fundamental group. (b) Find all its covering spaces up to isomorphism.

Q:

The capital structure of Chavboro, a quoted company, during the years ended 31 October 2005 and 2006 was as follows: $ 6,000,000 ordinary shares of 50 cents ... 3,000,000 10% preferred shares of $1...

Q:

In Problems 116, graph each equation using the following viewing windows: -3x - 2y = 6 (a) Xmin = 5 Ymin = -4 Xmax = 5 Ymax = 4 Xscl = 1 Yscl = 1 (b) Xmin = 10 Ymin = -8 Xmax = 10 Ymax = 8 Xscl = 2...

Q:

Canadian Defence Budget Expected to Rise to $20 billion by 2010 Like all federal institutions during the 1990s, the Department of Defence underwent budget cuts as part of the federal government's...

Q:

Dessert Delite Company produces frozen microwavable desserts. The following accounts appeared in the ledger as of December 31. Additional information: a. Accounts payable is used only for...

Q:

An outbreak of Shigella has been traced to food contaminated by ill food handlers. Shigellosis is an acute gastrointestinal infection caused by bacteria belonging to the genus Shigella. You are...

Q:

Calculate the following four reliability coefficients using the Pearson product-moment correlation formula, correlate the scores to determine the reliability coefficient (xx). Show your work. 3....

Q:

A taxable item named Widgets is available in multiple quantities at a base price of $54.99. In your program, store the base price in a properly named constant as a decimal. Prompt the user for the...

Q:

Southern Amusements Corporation had the following stockholders' equity on November 30: On December 30, Southern purchased 200 shares of treasury stock at $15 per share. Southern Amusements...

Q:

What is meant by "satisfying the customer" as a manager in a healthcare industry

Q:

CASE E Calculate Roger Blaine's minimum federal Tax Payable for 2020. Indicate any carry forwards available to him and his dependents and the carry forward provisions. Ignore any amounts Roger might...

Q:

Runde & Flanagan (2010) present their Four Rules for Conflict Management (Fig. 6.1, p. 221) and Schermerhorn (2011) outlines the Four Leadership Contexts and three types of Planned Change Strategies....

Q:

Post-closing Trial Balance of Premium Fabrics Private Limited for the year ended December 31, 2021 and 2022 are as follows: 2022 2021 Equities and Liabilities Issued and paid-up capital 5,000,000...

Q:

Excerpts from Hulkster Company's December 31, 2021 and 2020, financial statements are presented below: Accounts receivable Merchandise inventory Net sales Cost of goods sold Total assets Total...

Q:

Will the prediction interval always be wider than the estimation interval for the same value of the independent variable? Briefly explain.

Q:

Write down the sixth and seventh rows of Pascals triangle.

Q:

Prove each of these identities. a. b. c. d. e. f. sin x COS X = sec x cOsec x cos x COS X sin x

Q:

A helicopter flies from a point P with position vector (50i + 100j) km to a point Q. The helicopter flies with a constant velocity of (30i 40j) km h -1 and takes 2.5 hours to complete the journey....

Q:

Business Week recently reported that L. G. Philips LCD Co. would complete a new factory in Paju, South Korea. It will be the worlds largest maker of liquid-crystal display panels. The arrival of the...

Q:

The following table exhibits base salary data obtained from a survey of over 170 benchmark positions, including finance positions. It reports the salaries of a sample of 25 chief finance officers for...

Q:

Suppose a random sample of 137 households in Detroit was taken as part of a study on annual household spending for food at home. The sample data are contained in the file Detroit Eats. a. For the...