a Show that 3 cos 2 x sin 2 x 1 2 cos 2x b Hence sketch, for x , the graph of y 3 cos 2 x sin 2 x, showing the coordinates of points where the curve meets the axes ...

a. Show that 3 cos 2 x sin 2 x 1 + 2 cos 2x.

Question:

a. Show that 3 cos² x − sin² x ≡ 1 + 2 cos 2x.

b. Hence sketch, for −π < x < π, the graph of y = 3 cos² x − sin² x, showing the coordinates of points where the curve meets the axes.

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

Step by Step Answer:

Related Book For book-img-for-question

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

See More Books

Question Posted: Aug 11, 2023 07:12 AM

See More Questions

a. On a copy of grid to the right, sketch the graph of y = |(x - 2) (x + 3)| for -5 x 4, and state the coordinates of the points where the curve meets the coordinate axes. b. Find the coordinate of...
a. Sketch the graph of y = |2x + a|, a > 0, showing the coordinates of the points where the graph meets the coordinate axes. b. On the same axes, sketch the graph of y = 1/x. c. Explain how your...
The graph of y = x2 = 4x is shown below. (a) What are the coordinates of the point Q? Do they satisfy the equation? (b) What are the coordinates of R? Do they satisfy the equation? (c) If the...
During the year ended 30 June 20X5, Gem Stone Ltd acquired two areas of interest Site A and Site B. The exploration and evaluation activities at Site A amounted to $64454401. The costs relate to the...
The inventory at June 1 and costs charged to Work in Process-Dept 60 during June are as follows: 3800 units, 60% completed 60400.00 Direct materials-32,000 units 378000.00 Direct Labor 274000.00...
A pot of water is boiling under one atmosphere of pressure. Assume that heat enters the pot only through its bottom, which is copper and rests on a heating element. In two minutes, the mass of water...
Let $d S_{t}=S_{t^{-}}\left(b d t+\sigma d W_{t}+\phi d M_{t} ight)$ where $b, \sigma$ and $\phi$ are constant coefficients and $\phi>-1$. Let $Y_{t}=\left(S_{t} ight)^{-1}$. Prove that \[d...
The speed at which you can log into a website through a smart phone is an important quality characteristic of that website. In a recent test, the mean time to log into the Hertz website through a...
After traveling 30 miles, a boat moves at a linear speed. The Time (hours) Distance (miles) 0 30.00 table shows the relationship between time and distance. 1 38.25 How far, in miles, does the 2 46:50...
Find the possible values of sin when cos 2 = 23/25.
Given that cos x = 1/4, find the exact value of cos 2x.
In its 2000 and 2009 Annual Reports, Nike, Inc. reported the following net revenues, in millions of dollars, in four distinct regions of the world: In a report, use the sample information to: 1....
Think about a recent presentation you attended that you found effective. In three to five paragraphs, describe why it was effective. Include the following aspects in your analysis, referring to...
Watch a YouTube video (or some other type of multimedia example) that shows a realistic mock interview. Put yourself in the place of the interviewee and use the KE YS process to analyze his or her...
Many times in the workplace, you will create a written report and provide an oral presentation as well. Select a written report and develop a set of electronic slides that could be used to present...
Think about a presentation you delivered recently. In three to five paragraphs, address the following issues, referring to Chapter 14 if necessary for a refresher on preview-view-review: A....
Remove empty phrases and shorten these sentences. A. It goes without saying that many of you want financial aid. B. It cant be stated enough how much these extra skills can enhance your...
Aurora Borealis Paints is a national paint manufacturer and retailer. The company is segmented into five divisions: Paint Stores (branded retail locations), Consumer (paint sold through stores like...
Write a paper about the Working relationship in the organization- collaboration within and outside the organization
Perform the test in Problem 9.9, and report a p-value? Infectious Disease The distribution of white-blood-cell count is typically positively skewed, and assumptions of normality are usually not...
What nonparametric test can be used to compare degree of pain during maximal activity in the first period between people randomized to Motrin and a placebo?
Perform the test in Problem 9.11, and report a p-value?
corporate finance What the economic effect between 1MYR MYR to 0.21USD (write in paragraph and provide the link and citation) 14:37
deposit $80000, APY IS 1.25%, how much can I get after a year?
. You will retire 35 years from now. Once you reach retirement you plan on living 30 years (Anything longer and you will live off your children). You want to have enough money upon reaching...

a. Show that 3 cos 2 x sin 2 x 1 + 2 cos 2x.

Question:

Step by Step Answer:

a LHS b 31 cos2x 2 1 2 co...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

Students also viewed these Mathematics questions