a. Prove that (cos 2 sin 2) 2 1 sin 4. b. Use the
Question:
a. Prove that (cos 2θ − sin 2θ)2 ≡ 1 − sin 4θ.
b. Use the result to solve, for 0 ≤ θ < π, the equation cos 2θ − sin 2θ = 1/√2. Give your answers in terms of π.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 33% (3 reviews)
a To prove that cos 2 sin 22 1 sin 4 well start by expanding the lefthand side and then simplifying ...View the full answer
Answered By
Deepak Sharma
0.00
0 Reviews
10+ Question Solved
Related Book For
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
Question Posted:
Students also viewed these Mathematics questions
-
A simple trust has ordinary income of $56,000, a long-term capital gain of $20,000 (allocable to corpus), and a trustee commission expense of $5,500 (payable from corpus). The two income...
-
Thoroughly explain opportunities and challenges in technology, ethics, social responsibility, organizational culture, and globalization that sport managers face today and in the near future.
-
a. In 2015, Smileytown consumed 12,000 gallons of mouthwash. In 2016, mouthwash consumption rose to 17,000 gallons. Calculate the percentage change in mouthwash consumption. b. If the price of...
-
For Wilder Corporation, sales is $1,600,000 (8,000 units), fixed expenses are $480,000, and the contribution margin per unit is $80. What is the margin of safety in dollars?
-
1. Identify the steps in the development of an activity-based costing system. 2. Differentiate between value-added and nonvalue-added activities.
-
A Goodyear blimp typically contains 5400 m3 of helium (He) at an absolute pressure of 1.1 105 Pa. The temperature of the helium is 280 K. What is the mass (in kg) of the helium in the blimp?
-
Let \(N\) be an inhomogeneous Poisson process with intensity \(\lambda(t), M\) its compensated martingale, \(W\) a Brownian motion and \[d X_{t}=h_{t} d t+f_{t} d W_{t}+g_{t} d M_{t},\] where \(f,...
-
As more firms entertain the option of developing reverse logistics supply chains, explain the financial implications they should consider.
-
1. (a) (2 points) Consider the following zip code: What is the check digit? 20500-0001 I (b) (2 points) Determine the digit x that makes the number 8457938x345 divisible by 9. (c) (6 points) For the...
-
a. Express 3 sin 3 4 cos 3 in the form R sin (3 ), with R > 0 and 0 < < 90. b. Hence write down the minimum value of 3 sin 3 4 cos 3 and the value of at which it occurs. c. Solve, for 0 < 180,...
-
Eliminate from the following pairs of equations: a. x = cos 2 , y = 1 cos 2 b. x = tan , y = cot 2 c. x = sin , y = sin 2 d. x = 3 cos 2 + 1, y = 2 sin
-
(a) Verify that all trees are planar. (b) Derive Theorem 12.3 from part (a) and Euler's Theorem for planar graphs.
-
As incongruous as it seems, the Hangover movie franchise is a hotbed of intellectual property issues. Last summer, Warner Brothers settled a lawsuit brought by the tattoo artist who did Mike Tyson's...
-
The CFA Institute (Certified Financial Analysts) has a saying, \(P=f(x)\). For you nonmathematicians out there, the translation is that the probability of an ethical outcome is a direct function of...
-
When I hear businessmen speak eloquently about the "social responsibilities of business in a free-enterprise system," I am reminded of the wonderful line about the Frenchman who discovered at the age...
-
Marjorie Kelly challenges the notion that stockholders fund the corporation by pointing out that only the initial shareholders of a corporation actually fund the corporation. When shares change hands...
-
"Rain-forest chic" is a label coined in the popular business press for the increasingly popular corporate branding strategy of capitalizing on consumer use of environmental issues as a screen for...
-
Lin Ceramics, a division of Sesnie Corporation, has an operating income of $63,000 and total assets of $360,000. The required rate of return for the company is 13%. The company is evaluating whether...
-
Describe the Operations (+,,*,/) that can cause negligible addition (NA), error magnification (EM), or subtractive cancellation (SC) in calculating ?((x^2)+1) - x . Give the range of where they might...
-
Implement the test in Problem 9.45, and report a two-tailed p-value? Table 9.15: (Weight change, control period) (weight change, lack-of-consistency period) among 23 adolescent diabetic boys 4, A....
-
What parametric test can be used to compare weight change during the control period vs. weight change during the lack-of-consistency period? Table 9.15: (Weight change, control period) (weight...
-
Conduct the test recommended in Problem 9.22? Hypertension An instrument that is used in some blood-pressure studies is the random-zero device, in which the zero point of the machine is randomly set...
-
Suppose the current, zero-coupon, yield curve for risk-free bonds is as follows: (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) Yield to Maturity 1...
-
26. 46 Moist air at 105 kPa, 30C and 80% relative humidity flows over a cooling coil in an insulated air- conditioning duct. Saturated air exits the duct at 100 kPa and 15C. The saturation pressure...
-
In (Figure 1). F900 N and F = 700 N. Part A Figure F 1 of 1 Determine the magnitude of the resultant force. Express your answer to three significant figures and include the appropriate units. FR 887...
Study smarter with the SolutionInn App