From a product identity, we obtain Cos x/2 cos x/4 = 1/2 [cos(3/4 x) + cos(1/4 x)]

Question:

From a product identity, we obtain
Cos x/2 cos x/4 = 1/2 [cos(3/4 x) + cos(1/4 x)]
Find the corresponding sum of cosines for
cos x/2 cos x/4 cos x/8 cos x/16
Do you see a generalization?

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

See More Books

Question Posted: Jun 21, 2016 09:33 AM

See More Questions

This method uses the trapezoidal rule and gains precision step wise by halving h and adding an error estimate. Do this for the integral of f(x) = e -x from x = 0 to x = 2 with TOL = 10 -3 , as...
We now explore the relationship between A sin(wt) + B cos(t) and C sin(t + ). (a) By expanding sin(wt + ) using the sum of the angles formula, show that the two expressions are equivalent if A = C...
Use the identity sin 2x = 2 sin x cos x to find d/dx (sin 2x). Then use the identity cos 2x = cos 2 x - sin 2 x to express the derivative of sin 2x in terms of cos 2x.
A deposit of $4000 is made into an account that earns 11% annual simple interest. How much additional money must be deposited into an account that pays 14% annual simple interest so that the total...
What is knowledge management, and what is a knowledge management system? How does the concept of a community of practice relate to knowledge management?
18.16 Explain why distinguishing between investment centers and their managers is important in performance evaluation.
Assume that you must make future value estimates using the future value of 1 table (Table B.2). Which interest rate column do you use when working with the following rates? 1 8% compounded quarterly...
Jim (age 50) and Martha (age 49) are married with three dependent children. They file a joint return for 2014. Their income from salaries totals $50,000, and they received $10,000 in taxable...
Financial Statement Analysis The financial statements for Nike, Inc., are presented in Appendix D . Use the following additional information (in thousands): Accounts receivable at May 31, 2014:...
Tweed Ltd is a company engaged solely in the manufacture of sweaters, which are bought mainly for sporting activities. Present sales are direct to retailers, but in recent years there has been a...
An isosceles triangle is topped by a semicircle, as shown in Figure 18. Find a formula for the area A of the whole figure in terms of the side length r and angle t (radians). (We say that A is a...
The normal high temperature for Las Vegas, Nevada, is 55F for January 15 and 105 for July 15. Assuming that these are the extreme high and low temperatures for the year, use this information to...
In Exercises sketch the region bounded by the graphs of the equations and find the area of the region. y = x, y = 2 x, y = 0
What are the elements of partnership ?
1. (2x+3)dx
Explain the difference between SAM and RAM.
The figure shows six containers, each of which is filled from the top. Assume that water is poured into the containers at a constant rate and each container is filled in 10 seconds. Assume also that...
The figure shows a rotating wheel with radius 40 cm and a connecting rod AP with length 1.2 m. The pin P slides back and forth along the -axis as the wheel rotates counterclockwise at a rate of 360...
Tangent lines T1 and T2 are drawn at two points p1 and p2 on the parabola y = x2 and they intersect at a point P. Another tangent line T is drawn at a point between P1 and P2; it intersects T1 at Q1...
Let P(x1, y1) be a point on the parabola y2 = 4px with focus F(p, 0). Let a be the angle between the parabola and the line segment FP, and let be the angle between the horizontal line and the...
The tolal landed coet with the order gaantly sire of 6,000 unts is 4 (Enter your response roundod to the nearest dolar)
Boyne Inc. had beginning inventory of $12,000 at cost and $20,000 at retail. Net purchases were $120,000 at cost and $170,000 at retail. Net markups were $10,000, net markdowns were $7,000, and sales...
Apple inc. CONDENSED CONSOLIDATED BALANCE SHEETS (Unaudited) (In milions, except number of shares which are reflected in thousands and par value) LABILITES AND SHAREHOLDERS' EQUITY: Current...

From a product identity, we obtain Cos x/2 cos x/4 = 1/2 [cos(3/4 x) + cos(1/4 x)]

Question:

Step by Step Answer:

Cos x2 cos x4 cos x 8 cos x 16 3 2 cos x cos x cos x cos2x 16 16 1 3 cosxcosx 1 3 c...View the full answer

Calculus

Students also viewed these Calculus questions