Use the identity to prove that Then use the inequality Finally, prove rigorously that y y sin

Question:

Use the identity

+ y sin (2) cos (**) sin x + sin y = 2 sin

to prove that

sin(h/2) sin(a+h)- sin a h- h/2 h 2 cos (a + 21/1)

Then use the inequality sin x X < 1 for x # 0 to show that

Finally, prove rigorously that

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

See More Books

Question Posted: Nov 03, 2023 09:59 AM

See More Questions

The next two parts will prove inequality (2.3). b. State precisely a loop invariant for the for loop in lines 2-4, and prove that this loop invariant holds. Your proof should use the structure of the...
Use the fact that to prove Chebyshev's inequality given in Exercise 44. all x
Prove Taylor's Inequality for n = 2, that is, prove that if | f'''(x) | ( M for | x - a | ( d, then |f'''(x)| ( M/6 for |x - a|3 for |x - a| ( d
1. For each of the following sequences defined as a recurrence relations, List the first five terms of the sequence. Find a formula for the general term an in terms of n. 2, an+1 = an + 2n for n 1 a....
What are the similarities and differences between options and warrants?
Tracey Douglas is the owner and managing director of Heritage Garden Furniture Ltd., a South African company that makes museum-quality reproductions of antique outdoor furniture. Tracey would like...
As discussed in Example 6.7, the following stream at $100^{\circ} \mathrm{F}$ and 484 psia is to be separated by two distillation columns into the Products $1-3$ in the following table. Two...
On December 31, 2012, Cathy Chen, a self-employed certified public accountant (CPA), completed her first full year in business. During the year, she billed $360,000 for her accounting services. She...
Managing employees with personal problems can be a delicate and challenging task. As a manager, it's important to approach these situations with empathy, understanding, and professionalism. It is...
Prove rigorously that does not exist. lim sin x0
Use the formal definition of the limit to prove the statement rigorously. lim x = 1 x1
Define the three types of capital and give examples of the capital requirements for the ethnic doll company.
31. Statement 1: All criminal violations of the National Internal Revenue Code may be compromised Statement 2: A criminal case for violations of the National Internal Revenue Code already filed in...
2023. Bank A Bank B Consider the following contingency table with the approved loans in August Consumer loans (approved out of total) Mortgage loans (approved out of total) p of 500 4 of 20 3000 of...
What regulatory framework/structure of the people development credit union and Downey finanacial corporation. how could the regulatory timely intervention prevent their situation. How effective...
Evaluate the challenges that MacDonald's has, and why promoting in-house talent is vital for Macdonald's vision?
How does the legal process of discovery encourage settlements during mediation? why or why not
Refer to Exercise. In exercise, barrick Gold (ABX), Bombardier (BBD.B), Bell Canada Enterprises (BCE), Bank of Montreal (BMO), Bank of Nova Scotia (BNS), Canadian Imperial Bank of Commerce (CM),...
Find the reduced echelon form of each of the matrices given in Problems 120. c 1 26 + 4
Prove that d / dx (csc x) = - csc x cot x.
Prove that d / dx (cot x) = csc2x.
Prove that d / dx (cot x) = csc2x.
Matheson Electronics has just developed a new electronic device it believes will have broad market appeal. The company has performed marketing and cost studies that revealed the following...
A company reports net income of $ 8 , 4 0 0 for the yearDuring the year, the company reports an $ 8 8 0 loss from retirement of notes and a gain of $ 1 , 3 2 0 from the sale of equipment. Also,...
Dickinson Company has $11,880,000 million in assets. Currently half of these assets are financed with long-term debt at 9.4 percent and half with common stock having a par value of $8. Ms. Smith,...

Use the identity to prove that Then use the inequality Finally, prove rigorously that y y sin

Question:

y y sin (+1) cos (**) 2 sin x + sin y = 2 sin

Step by Step Answer:

We first write Applying the identity with x a h y a yi...View the full answer

Calculus

Students also viewed these Mathematics questions