a. Sketch the graphs of y = 5 sin x and y = 3 cos x on

Question:

a. Sketch the graphs of y = 5 sin x and y = 3 cos x on the same axes (0 ≤ x ≤ 2π), marking on all the points where the graphs cross the axes.

b. Write down how many solutions there are in the given range for the equation 5 sin x = 3 cos x.

c. Solve the equation 5 sin x = 3 cos x algebraically, giving your answers to 3 significant figures.

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 09, 2023 03:34 PM

See More Questions

a. Sketch the graphs of y = 3 sin x and y = 2 cos x on the same set of axes (0 x 360). b. Write down how many solutions there are in the given range for the equation 3 sin x = 2 cos x. c. Solve the...
a. Sketch the graphs of y = 2 sin x and y = cos x on the same set of axes (0 x 360). b. Write down how many solutions there are in the given range for the equation 2 sin x = cos x. c. Solve the...
Sketch the graphs of each of the following parametric equations. (a) x = 3 cos t, y = 3 sin t, 0 t 2 (b) x = 3 cos t, y = sin t, 0 t 2 (c) x = t cos t, y = t sin t, 0 t 6 (d) x = cos t, y = sin...
A set of 2M biorthogonal signals is obtained from a set of M orthogonal signals by augmenting it with the negative of each signal in the set. (a) The extension of orthogonal to biorthogonal signals...
On December 31, 2013, Blue Bayou Company had accrued salaries of $12,000. Required a. Record in general journal format the adjustment required as of December 31, 2013. b. Record the above adjustment...
On January 1, 2012, the dental partnership of Left, Center, and Right was formed when the partners contributed $20,000, $60,000, and $50,000, respectively. Over the next three years, the business...
You want to determine the mean age of all statistics instructors at the University of Colorado. representative Samples? In Exercises 1316, identify the sample, population, and sampling method. Then...
One mechanic services 5 drilling machines for a steel plate manufacturer. Machines break down on an average of once every 6 working days, and breakdowns tend to follow a Poisson distribution. The...
What is the output of the following program: #include #include using namespace std; int array1 [] int array2 [] (1200, 200, 2300, 1230, 1543} ; (12, 14, 16, 18, 20); - int temp, result = 0; int...
Find the values of x in the interval 0 < x < 3/2 which satisfy the equation sin 2x + 0.5 1 - sin2x = 2
When is small, find the approximate value of cos 4 sin 4 .
How many primitive and how many contracted GTFs are used in a calculation on Si24O60H24 with each of these basis sets: (a) STO-3G; (b) 3-21G; (c) 6-31G*?
While the capacity of a given natural ecosystem (such as a big body of water) to assimilate waste is limited, the efficacy of any natural environment to withstand damage from pollution depends on the...
Explain in words the difference between net working capital and net operating working capital.
Which of the following statements is true with respect to estimation uncertainty? a. It is an accounting concept relating to precision and so it has no impact on an audit. b. Complexity,...
Farm Fresh Foods Inc. (FFF) is a new food distribution company that has been profitable since the second month of operations. It has arranged with Smith LLP, an accounting firm, to conduct an...
Please read the following quoted remark from Ausubel (1996) very carefully: Segments of the energy economy have advanced impressively toward local ceilings of 100 percent efficiency. However, modern...
An unknown binary compound containing hydrogen (XH n ) has a density as a gas that is 2.393 times that of oxygen gas under the same conditions. When 2.23 10 -2 mole of this compound reacts with...
Provide an example of an aggressive accounting practice. Why is this practice aggressive?
Suppose the level of pollution has nothing to do with the incidence of heart attack. How many heart attacks would be expected to occur where the pollution level on the index date is higher than the...
Given the preceding data, assess whether pollution level acts as a trigger effect in causing heart attack? Environmental Health Some previous studies have shown that mortality rates are higher on...
Answer Problem 5.93 based on cases in winter? Researchers also analyzed cases occurring in the winter months. They found that on 10 days the pollution level on the index date was higher than on the...
(a) Suppose you are given the following results of a classifier on a set of examples of the three possible classes as follow: Cat, Puppy, and Tiger. Table 2: Classifier table Predicted No Correct...
[12 pts] The following table gives a two-way classification of 80 students in a statistics class, based on gender and class status: (a) Senior Junior Others Total Male 6 10 20 36 Female 10 8 26 44...
Consider the following result from a classification problem and a model built for it. Predicted Yes Predicted No Total Actual Yes 223 43 266 Actual No 87 453 540 Total 310 496 806 1. What is the...

a. Sketch the graphs of y = 5 sin x and y = 3 cos x on

Question:

Step by Step Answer:

a Do T 0 0...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

Students also viewed these Mathematics questions