Question: ??????? Prove by mathematical induction that for any positive integer ( n ), [ sin theta-sin 3 theta+sin 5 theta-ldots .+(-1)^{n+1} sin (2 n-1) theta=frac{(-1)^{n+1}

??????? Prove by mathematical induction that for any positive integer $ n $, \[ \sin \theta-\sin 3 \theta+\sin 5 \theta-\ldots .+(-1)^{n+1} \sin (2 n-1) \theta=\frac{(-1)^{n+1} \sin 2 n \theta}{2 \cos \thet 2 answers

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 Finance Questions!

Valuing Preferred Stock Best Rate Bank just issued some new preferred stock. The issue will pay a $10 annual dividend in perpetuity, beginning 10 years from now. If the market requires a 7 percent...

Suppose that you flip a coin. If it comes up heads, you win $10; if it comes up tails, you lose $10. a) Compute the expected value and variance of this lottery. b) Now consider a modification of this...

The unadjusted trial balance of Quick Repairs at October 31, 2008, the end of the current year, is shown below. The data needed to determine year-end adjustments are as follows: a. Supplies on hand...

What made you decide on this subfield of psychology?

The eight general audit procedures produce evidence about the principal management assertions in financial statements. However, some procedures are useful for producing evidence about certain...

Which of the following is NOT a foreign bond? Shogun bond Bulldog bond Matador bond Yankee bond

Assume the same information for TelMark as in Exercise 11-24. A member of the data science team points out that overfitting is often an issue with decision trees. To avoid this issue, he suggests...

The Town of Grafton is requesting proposals (RFPs) for design and engineering services for road and drainage improvements along Institute Road from East Street to Wesson Street. The road will lead...

You require 4.300 kg prepared carrots for service. The trimming loss for carrots is 14%. What quantity of raw carrots will you require for preparation? Enter your answer to 3 decimal places, e.g....

How does the battery from Tesla cars negatively impact the environment? Does Tesla negatively impact the environment at all? If so, how? What could Tesla do to help solve these impacts?

United States Motors Inc. (USMI) manufactures automobiles and light trucks and distributes them for sale to consumers through franchised retail outlets. As part of the franchise agreement,...

What is the financial viability of Western Union in the current international financial environment? (i.e., the last 2 to 3 years)

If you have further questions, kindly ask. This is about share options On January 1, 2019, Symphony grants its president the right to choose either 10,000 ordinary shares or to receive cash payment...

Calculate Variances The following summary data relate to the operations of Dobson Company for April, during which 9,000 finished units were produced. Normal monthly capacity was 20,000 direct labor...

Les has collected stamps in his spare time for years. He purchased many of his stamps at a price much lower than the current market value. Les recently lost his job as a carpenter. Since his wife...

What are the goals of successful companies?

If Best Co. issued 10,000 shares of $20 par value common stock for $30 per share, what amount is added to the Common Stock account? What amount of cash is received?

List some differences between U.S. GAAP and GAAP of other countries with respect to amortization and accounting for intangibles.