For the following exercises, prove the identity. cos(3x) cos 3 x = cos x sin

Question:

For the following exercises, prove the identity.

cos(3x) − cos³x = − cos x sin² x − sin x sin(2x)

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

Step by Step Answer:

Related Book For book-img-for-question

Precalculus

ISBN: 9781938168345

1st Edition

Authors: Jay Abramson

See More Books

Question Posted: Jun 17, 2022 12:49 AM

See More Questions

Verify that the following are identities (see Example 6). (a) Sin2 v + 1/ sec2 v = 1 (b) Cos 3t = 4 cos3 t - 3 cos t (c) Sin 4x = 8 sin x cos3 x - 4 sin x cos x (d) (1 + cos ) (1 - cos ) = sin2
In Exercises 1-4, verify the identity by converting the left side into sines and cosines. 1. cot2 t / csc t = 1 - sin2 t / sin t 2. cos x + sin x tan x = sec x 3. secx cos x = sin x tan x 4. cot x -...
Using elementary geometry and the definition of sin x, cos x, we can show that for every x R i) | sin x| ii) sin(-x) = - sin x. cos(-x) = cos x, iii) sin2 x + cos2 x = 1, cos x = 1 - 2 sin2 (x/2),...
Inscribe a detailed paper on RFID Solutions and Standards in the Transportation Industry.
Assess the merits of virtualization in an organization of your choice.
In chapter 17, we examined the influences of keystone species on the structure of communities. In chapter 18, we reviewed trophic cascades. Discuss the similarities and differences between these two...
Assume the payoff of each asset has a finite variance and the law of one price holds. Apply facts stated in Section 3.8 to show that there is a unique SDF m p in the span of the asset payoffs. Show...
Coca-Cola is a well-established consumer products company with a strong position in the global market. The sales of their core soda products have remained relatively stable for decades, yet the...
Which equation shows the foundation of the income statement? 1) Equity = Net Income (Loss) + Capital 2) Gross Profit = Income ?" COGS 3) Net Income (Loss) = Revenue ?" Expenses - O4) Asse =...
Two cards are drawn in succession from a deck without replacement. What is the probability that both cards are greater than 2 and less than 8?
For the following exercises, prove the identity. tan 3 x tan x sec 2 x = tan(x)
For the following exercises, find all exact solutions to the equation on [0, 2). Rewrite the expression sin 4 x with no powers greater than 1.
Which atom is larger, lithium (Li) or beryllium (Be)? Explain your answer.
Verify the results of Eq. (14.48) for the properties of the chiral projection operators. Data from Eq. 14.48 P = P+ P+ + P = 1 P_P+ P+P = 0 Py" = y P
Prove that the estimating equations in (11.13) are unbiased under MCAR, but are generally biased without the stringent MCAR assumption. (x) [y - f (xt;)] = 0, i=1 (11.13)
Refer to Figure 11.5: Which is the most expensive subcontract for this project? How much were the costs for the general contractor's crews for item 4? Figure 11.5 Division 1 2 3 4 5 6 7 Work Gen'l...
a. Using observations on the change in consumption $D C_{t}=C_{t}-C_{t-1}$ and the change in income $D Y_{t}=$ $Y_{t}-Y_{t-1}$ from 1959Q3 to 2015Q4, obtained from the data file cons_inc,...
Water at $20^{\circ} \mathrm{C}$ flows by gravity from a large reservoir at a high elevation to a smaller one through a 35-m-long, 5-cm-diameter cast iron piping system that includes four standard...
Contrast the market-based valuation approach with the earnings-based approach. Which is easier to apply? Which is more appropriate?
A supermarket chain is interested in exploring the relationship between the sales of its store-brand canned vegetables (y), the amount spent on promotion of the vegetables in local newspapers (x1)...
Problems 5762 require the following discussion. Inflation is a term used to describe the erosion of the purchasing power of money. For example, if the annual inflation rate is 3%, then $1000 worth of...
In Problems 5770, write each expression as a single logarithm. 21 log, x + log3 (9x) - log39
In Problems 4576, solve each exponential equation. Express irrational solutions in exact form. 9x3x+1 + 1 = 0
Question 3 (24 marks) Wonderful Technology Company Limited sells computers and accessories. Data of the store's operations are as follow: Sales are budgeted at $400,000 for December 2019, $420,000...
Kratz Manufacturing Company uses an activity-based costing system. It has the following manufacturing activity areas, related cost drivers and cost allocation rates: Activity Cost Driver Cost...
You are a Partner with Fix-It Consultants and have been engaged in an advisory capacity with a software company, called MoveFast. The company is seeing a sharp decline in revenue, with the primary...

For the following exercises, prove the identity. cos(3x) cos 3 x = cos x sin

Question:

Step by Step Answer:

cos3x cos 3 x cos x sin ...View the full answer

Precalculus

Students also viewed these Mathematics questions