Prove each of these identities. a. (sin x + cos x) 2 1 + 2 sinxcosx
Question:
Prove each of these identities.
a. (sin x + cos x)2 ≡ 1 + 2 sinxcosx
b. 2(1 + cos x) − (1 + cos x)2 ≡ sin2x
c. 2 − (sin x + cos x)2 ≡ (sin x − cos x)2
d. (cos2x − 2)2 − 3sin2 x ≡ cos4x + sin2x
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 83% (6 reviews)
a Starting with the lefthand side sin x cos x2 sin2x 2sinxcosx cos2x 1 2sinxcosx using the identity ...View the full answer
Answered By
Mary Boke
I have teached the student upto class 12th as well as my fellow mates.I have a good command in engineering,maths and science.I scored 90+ marks in 10th and 12th in maths.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
Prove that each of these identities is true. You may use any of the identities that have been proved in this chapter. a. secA - sin A tan A = cos A b. 1/sin2A - 1/tan2A = 1 c. secAcosB - tanAsin -...
-
Prove each of these identities. a. sin x/ tan x = cos x b. cos x sin x/ tan x = 1 sin 2 x c. 1 sin 2 x/cos x = cos x d. e. (sin x + cos x) 2 = 1 + 2 sin x cos x f. tan 2 x sin 2 x = tan 2 x sin 2...
-
Prove each of these identities. a. sin x + cos x cot x cosec x. b. cosec x sin x cos x cot x. c. sec x cosec x cot x tan x. d. (1+ secx)(cosec x cot x) tan x.
-
Given the following data about XYZ Mutual Fund on Oct. 1: Assets: Liabilities: Cash = $40,000 Accrued fees and expenses = $5,000 1,000 Shares of Stock A: Closing Price $30 2,000 Shares of Stock B:...
-
If a company performs perfectly in line with expectations, how will its TRS react in theory? How will its TRS react in practice? Why?
-
Jane is an accountant at Merelix, a large international firm where she works on potential acquisitions. When Merelix is preparing to acquire a company, Jane is involved in filing the necessary...
-
Carry out a formal pinch analysis of the process design presented as Step 8, using the UniSim \({ }^{\circledR}\) Design file NH3_PROCESS_4E_STEP_8 opt_V3.usc: (a) Compute the MER targets assuming...
-
A condensed income statement for the Snowboard Division of New Wave Rides Inc. for the year ended December 31, 2010, is as follows: Sales ......... $1,200,000 Cost of goods sold .... 826,000 Gross...
-
1) Leadership and management are very important vital components to an effective functioning organization so that people in the organization are inspired, managed and guided towards a common vision....
-
Calibrated manufacturing makes an electronic component that is in great demand. The component sells for $20 each. Calibrated's current capacity is 10,000 units per week. For the last few months,...
-
Given that sin < 0 and tan < 0, name the quadrant in which angle lies.
-
Given that is an acute angle measured in radians and that cos = k, find, in terms of k, an expression for: a. sin b. tan c. cos( )
-
Distinguish between the stated or nominal rate of interest on a bond and the real or effective rate.
-
The elementary, irreversible, gas-phase reaction ABC is carried out adiabatically in a PFR packed with a catalyst. Pure A enters the reactor at a flowrate of 20dm3/s, at a pressure of10 atmand a...
-
Suppose that Enid Stettner had approached you when she was starting Wild Thymes for advice on the form of ownership she should choose. Briefly describe four factors you would have asked her to...
-
Use the following information in the table below to answer the questions that follow: Project A Project B Project C Initial Investment R 100 000,00 R 150 000,00 R 175 000,00 CF Year 1 R 48 000,00 R...
-
Consider the problem of a value maximizing firm whose profit function at time t is given by II(K) =eK! where e is the natural exponent, A denotes fixed the productivity level, K, denotes capital and...
-
Find the electric field at the location of qa in the figure below, given that qb= qc = qd = +3.40 nC, q = -1.00 nC, and the square is 18.0 cm on a s magnitude N/C direction o counterclockwise from...
-
Dave currently consumes 10 hot dogs and 6 sodas each week. At his current consumption basket, his marginal utility for hot dogs is 5 and his marginal utility for sodas is 3. If the price of one hot...
-
An example of prescriptive analytics is when an action is recommended based on previously observed actions. For example, an analysis might help determine procedures to follow when new accounts are...
-
Compute the median change in cholesterol? Table 2.15: Serum-cholesterol levels (mg/dL) before and after adopting a vegetarian diet *Before after. Subject Before After Difference* 195 146 49 145 155...
-
Construct a box plot of the cholesterol changes to the right of the stem-and-leaf plot? Table 2.15: Serum-cholesterol levels (mg/dL) before and after adopting a vegetarian diet *Before after. Subject...
-
Suppose that among women who are age 5074, 22% are age 5054, 21% are age 5559, 20% are age 6064, 19% are age 6569 and 18% are age 7074. What is the overall 1-year cumulative incidence among Caucasian...
-
Explain why depending entirely on a corporation's annual report can be misleading.
-
the diagram on the right is for a register bank circuit that contain 8 registers. Each register is 16-bit. The register can read or write to one register at a time using address bus. Design the...
-
5. (12 points total) Let G = (V,E) be a complete digraph on |V| = n vertices indexed from 1 to n. Thus for any pair of distinct vertices i and j in V, there is an edge (i, j) in E. Assume that each...
Study smarter with the SolutionInn App