a) Sketch on the same diagram the graphs of y = sin 2 and y = cos
Question:
a) Sketch on the same diagram the graphs of y = sin 2θ and y = cosθ for 0° ≤ θ ≤ 180°.
b) State the number of roots of the equation sin 2θ = cos θ for which 0° ≤ 0 ≤ 180°.
c) Find the roots of the equation sin 2θ = cosθ for which 0° ≤ θ ≤ 360°.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 57% (7 reviews)
a To sketch the graphs of y sin 2 and y cos for 0 180 we can use a unit circle and plot the values o...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
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
Question Posted:
Students also viewed these Mathematics questions
-
Functions f and g are defined by i. Express f(x) in the form a(x + b) 2 + c, where a, b and c are constants. ii. State the range of f. iii. State the domain of f 1 . iv. Sketch on the same diagram...
-
The functions f and g are defined for x R by f: x 5 3x g: x (x 1) a) Find the set of values which satisfy gf(x) 25. b) Sketch on the same diagram the graphs of y = f(x) and y = f 1 (x), showing...
-
The function f is defined by f: x x + 2x 1 for 0 x 2. a) Express f(x) in the form (x + a) + b, where a and b are constants. b) State the range of f. c) Find an expression for f 1 (x), stating its...
-
In Problems, use a calculator to give a decimal approximation of the numbers to three decimal places. e 4
-
Population: 4, 10, 12, 12, 13, 21 Find the population variance and standard deviation or the sample variance and standard deviation as indicated.
-
If YOU were to devise a personal strategy for how to behave in challenging interpersonal situations, outline the steps to this strategy. In addition, indicate to what degree would this strategy use...
-
The chance that it will rain tomorrow is 25%. Classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning.
-
Dutch Hollow Electronics issues a $400,000, 8%, 10-year mortgage note on December 31, 2011. The proceeds from the note are to be used in financing a new research laboratory. The terms of the note...
-
Emily is traveling in Germany. Her rental car measures speed in km/h, but the road signs display speeds in mph. The speed limit on the autobahn is 130 km/h. What is this speed limit in mph? Give your...
-
The Walton Toy Company manufactures a line of dolls and a sewing kit. Demand for the company's products is increasing, and management requests assistance from you in determining an economical sales...
-
Solve the equation 8 cosx = 5 + 2 sin x for 0 x 360.
-
a) Use your calculator to find the angle (to the nearest degree) between 0 and 90 whose sine is 0.36. b) Hence find another angle between 0 and 360 whose sine is 0.36.
-
Calculate the derivative with respect to x of the other variable appearing in the equation. sin(x + y) = x + cos y
-
Working as an internal accountant in City Sol Man prepare an informal memo to the Vice President of City Sol Man detailing any quantitative or qualitative analysis supporting or not supporting the...
-
a) Suppose you have invested in risky securities such as share and preferred stock to maximize return. Now you want to minimize risk of investment. How can you revise your portfolio to achieve your...
-
A US importer, who incurs costs in CAD dollars and bills its customers in US Dollars (USD) is concerned about the depreciation of USD against CAD due to CAD payable of 10,000,000 in a month. To hedge...
-
Assume that the cumulative default probability (calculated from historical data) for a given bond is 3% and that the credit spread 120 bps (over the risk free rate). Assume also that the recovery...
-
Wilson Corporation is acquiring a new stamping machine at a cost of $400,000. The machine will produce annual cash flows of $77,000 over its 10-year useful life. Wilson's has the following finan-...
-
Natalies RRSP is currently worth $133,000. She plans to contribute for another seven years, and then let the plan continue to grow through internal earnings for an additional three years. If the RRSP...
-
Imagine a sound wave with a frequency of 1.10 kHz propagating with a speed of 330 m/s. Determine the phase difference in radians between any two points on the wave separated by 10.0 cm.
-
What is the expected relative risk of macular degeneration for lutein-treated participants versus placebo-treated participants in the proposed study? Suppose for the sake of simplicity that the...
-
How many infants with at least one birth defect would we expect among the 837 IVF infants if the true prevalence of at least one birth defect in the IVF group were the same as for infants conceived...
-
Does an unusual number of infants have at least one birth defect in the IVF group? Why or why not? Pediatrics A study was recently published in Western Australia on the relationship between method of...
-
Consider you are in a "Kick off" meeting for a new electrical construction project. Your a project manager for the electrical installation and other members attending the meeting are project managers...
-
from a biblical worldview perspective briefly describes how Christians should fulfill business obligations (if a person or a business firm makes a deliberate promise, but the law provides for a...
-
The following information presents key figures pertaining to the operating budget of a company: Sales at 9 2 % of capacity $ 6 4 4 , 0 0 0 Fixed costs $ 2 1 5 , 0 0 0 Variable costs $ 3 7 3 , 5 2 0 $...
Study smarter with the SolutionInn App