a. By differentiating cosx/sinx, show that if y = cot x then dy/dx = -cosec 2 x.
Question:
a. By differentiating cosx/sinx, show that if y = cot x then dy/dx = -cosec2x.
b. b Hence, show that
Transcribed Image Text:
-T ∙π 6 cosec 2 2xdx = √3 | 6
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 64% (14 reviews)
a We can use the quotient rule to differentiate cos x sin x ...View the full answer
Answered By
Darwin Romero
I use a hands-on technique and am approachable to my students. I incorporate fun into my lessons when possible. And while my easy-going style is suitable for many subjects and grades, I am also able to adapt my style to the needs of the student. I can describe myself as friendly, enthusiastic and respectful. As a teacher, we can easily get respect from the students if they would feel respected first
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
Show that if Y = aX + b (a 0), then Corr(X, Y) = + 1 or - 1. Under what conditions will = + 1?
-
i. By differentiating cosx/sinx that if ii. By expressing cot2 x in terms of cosec2 x and using the result of part i, show that iii. Express cos 2x in terms of sin2 x and hence show that 1/1 - cos2x...
-
1. T/F: 2. T/F: 3. T/F: This section addresses how to evaluate indefinite inte grals such as as / si sin x tanx dx. 4. T/F: Sometimes computer programs evaluate integrals in- volving trigonometric...
-
Adjusting and Closing Presented on the next page is the trial balance of the Crestwood Golf Club, Inc. as of December 31. The books are closed annually on December 31. Instructions (a) Enter the...
-
Use values from the Poisson table to sketch the Poisson distribution for = 5.
-
An experiment results in one of three mutually exclusive events A, B, and C. It is known that P1A2 = .50, P1B2 = .30, and P1C2 = .20, Find each of the following probabilities: a. P1A B2 b. P1A B2...
-
22. The strike price of a compensation option is generally set on the day the option is issued. On November 10, 2000, the CEO of Analog Devices, Jerald Fishman, received 600,000 options. The stock...
-
On January 1, 2010, Allan acquires 15 percent of Bellevue's outstanding common stock for $62,000. Allan classifies the investment as an available-for-sale security and records any unrealized holding...
-
Using chapter 3 Binh's Bins from the textbook, prepare a manual journal entry.
-
a. Given that find the value of the constant A. b. Hence show that 4x 2x - 1 2+ A 2x - 1
-
The diagram shows part of the curve y = 2 x 2 ln(x + 1). The shaded region R is bounded by the curve and by the lines x = 0, x = 1 and y = 0. Use the trapezium rule with intervals to estimate the...
-
The purchased cost of a recently acquired heat exchanger with an area of 100 m 2 was $10,000. Determine The constant K in Equation (7.2) The cost of a new heat exchanger with area equal to 180 m 2 Ca...
-
Show how you would go about balancing the following equations: Cu + HNO3 Cu(NO3)2 + NO + H2O HIO3 + Fel2 + HCI FeCl3 + ICI + H2O 2.Conservation of mass A student places 0.58 g of iron and 1.600 g...
-
Sales MOSS COMPANY Income Statement For Year Ended December 31, 2021 Cost of goods sold Gross profit Operating expenses (excluding depreciation) Depreciation expense Income before taxes Income taxes...
-
Prior to the Covid-19 epidemic, Master's and Ph.D. programs in psychology required applying students to submit their scores on the standardized graduate admission exam (GRE). For the past three...
-
Benicio wants to make sure that the Sales table does not contain any duplicate records, which would make any sales analysis incorrect. Identify and remove duplicate records in the Sales table as...
-
University Car Wash purchased new soap dispensing equipment that cost $261,000 including installation. The company estimates that the equipment will have a residual value of $27,000. University Car...
-
Reconsider Prob. 1829. Using an appropriate software, investigate the effect of the initial temperature of the balls on the annealing time and the total rate of heat transfer. Let the temperature...
-
Explain the Hawthorne effect.
-
The function g : x 5 ax 2x 2 , where a is a constant, is defined for x . Find the range of g in terms of a.
-
Find two different ways of describing the sequence of transformations that maps the graph of y = f(x) onto the graph of y = f(2x + 10).
-
a. Find an expression for f 1 (x). b. Show that if f(x) = f 1 (x), then x 2 x 1 = 0. c. Find the values of x for which f(x) = f 1 (x). Give your answer in surd form. f(x) = x-1 for xe R, x 1
-
1,600 Balance Sheet The following is a list (in random order) of KIP International Products Company's December 31, 2019, balance sheet accounts: Additional Paid-In Capital on Preferred Stock $2,000...
-
Question 3 4 pts 9 x + 3 x 9 if x 0 Find a) lim f(x), b) lim, f(x), C), lim , f(x) if they exist. 3 Edit View Insert Format Tools Table : 12pt M Paragraph B IV A2 Tv
-
Mr. Geoffrey Guo had a variety of transactions during the 2019 year. Determine the total taxable capital gains included in Mr. Guo's division B income. The transactions included: 1. On January 1,...
Study smarter with the SolutionInn App