Use the definition of the derivative and the trigonometric identity cos (x + h) = cos x

Question:

Use the definition of the derivative and the trigonometric identity

cos (x + h) = cos x cos h - sin x sin h

to prove that d/dx (cos x) = -sin x.

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

See More Books

Question Posted: Feb 08, 2019 12:26 PM

Use the definition of the derivative to show that Dx(sin 5x) = 5 cos 5x.
Use the definition of the derivative to show that Dx(sin x2) = 2x cos x2.
Use the definition of derivative to prove that In(1 x) lim
The common stock of Scarlet Enterprises currently pays a quarterly dividend of $1.75 per share. The dividend is assumed to grow annually at a constant rate of 4.0%. The market beta for Scarlet...
Refer to the trial balance for Asian Importers prepared in P3-9B. In addition to this information, note that during the year, common shares in the amount of $12,900 were issued and $6,300 of the...
Nokia (FIN) provided the following disclosure in a recent annual report. Use of Estimates (Partial) The preparation of financial statements in conformity with IFRS requires the application of...
Do you agree with the 11th U.S. Court of Appeals ruling that cleared Chiquita of any liability for the victims killed by the paramilitary group that Chiquita funded? Construct an ethical argument...
Pineapple Motor Company manufactures two types of specialty electric motors, a commercial motor and a residential motor, through two production departments, Assembly and Testing. Presently, the...
Borunda Corporation has provided the following data for its two most recent years of operation: Selling price per unit $83 Manufacturing costs: Variable manufacturing cost per unit produced: Direct...
Jenny McCarthy is an engineer for a municipal power plant. The plant uses natural gas, which is currently provided from an existing pipeline at an annual cost of $10,000 per year. Jenny is...
Use the half-angle formula to prove that 1 - cos 2x sinx cos x lim 0.
Let For what values of a is f continuous? 3 sin x if x + 0 f(x) . if x = 0.
Problems 89 and 90 require the following discussion: The shortest distance between two points on Earths surface can be determined from the latitude and longitude of the two locations. For example, if...
Use the following information for questions 1 and 2. Caterpillar Financial Services Corp. (a subsidiary of Caterpillar) and Sterling Construction sign a lease agreement dated January 1, 2020, that...
Identifying Binomial Distributions. Determine whether the given procedure results in a binomial distribution or a distribution that can be treated as binomial (by applying the 5% guideline for...
Case 6: TOMS Shoes in 2016: An Ongoing Dedication to Social Responsibility, by Margaret A. Peteraf, Sean Zhand, and Meghan L. Cooney (page C-57) Read the case and then respond to the case questions...
Quatro Co. issues bonds dated January 1, 2019, with a par value of $740,000. The bonds' annual contract rate is 13%, and interest is paid semiannually on June 30 and December 31. The bonds mature in...
Wildcat Mining wants to know the appropriate discount rate to use in their capital budgeting decision making process. Based on the following data, what is the weighted average cost of capital the CFO...
Write a nonrecursive version of OS-SELECT.
Arlington Merchants reported the following on its income statement for the fiscal years ending December 31, 2016 and 2015. 2016 2015 Sales $4,857,500 $4,752,900 Cost of goods sold 3,258,950 3,207,000...
Use a power series to approximate the definite integral to six decimal places. r0.3 dx 1 + x3
Use a power series to approximate the definite integral to six decimal places. C1/2 arctan(x/2) dx
Use a power series to approximate the definite integral to six decimal places. r0.2 I x In(1 + ?) dx
Caspian Sea Drinks needs to raise $74.00 million by issuing additional shares of stock. If the market estimates CSD will pay a dividend of $2.69 next year, which will grow at 3.45% forever and the...
i need help in B and C Integrative Case 5-72 (Algo) Cost Estimation, CVP Analysis, and Decision Making (LO 5-4.5.9) Luke Corporation produces a variety of products, each within their own division....
Relate PSA (Public Securities Association) speed to the average life of a MBS. Describe the PSA measure and discuss which MBS would have the greater average life, one with a PSA of 100 or one with a...

Use the definition of the derivative and the trigonometric identity cos (x + h) = cos x

Question:

Step by Step Answer:

d dx cos x lim h0 cosx h h ...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions