Find the period of each of these functions. a) y = sin 2x b) y = cos

Question:

Find the period of each of these functions.

a) y = sin 2x

b) y = cos 5x

c) y = cos x + 1

d) y = 5 sin(x − 30)°

e) y = tan 1/2 x

f) y = 2 tan 3x − 4

g) y = tan (x + 45)°

h) y = 3 sin (2x − 60)°

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

See More Books

Question Posted: Apr 13, 2023 10:51 AM

See More Questions

Consider the following transportation problem: Formulate this problem as a linear programming model and solve it by using thecomputer. To (cost) From 2 Supply $ 6 12 4 $100 130 70 100 Demand 80 110 60
(a) Use a graphing utility to graph the functions f (x) = 2 cos 2x + 3 sin 3x and g(x) = 2 cos 2x + 3 sin 4x. (b) Use the graphs from part (a) to find the period of each function. (c) Is the function...
The normal monthly high temperatures H (in degrees Fahrenheit) in Erie, Pennsylvania, are approximated by H(t) = 57.54 18.53 cos Ït / 6 - 14.03 sin Ït / 6 and the normal monthly low...
How does Philip Morris handle the sensitive issues associated with marketing tobacco? What kind of information does its web site at http://www.philipmorris.com/ provide about smoking and its negative...
Often, frequency distributions are reported using unequal class widths because the frequencies of some groups would otherwise be small or very large. Consider the following data, which represent the...
Rivers Edge Canoe & Kayak had the following purchases and cash payment transactions for the month of March. Instructions In your working papers, record the following transactions on page 16 of the...
Let x represent the weight of a students school bag. Determine whether the random variable x is discrete or continuous. Explain.
Maul, Inc., a calendar year S corporation, incurred the following items. Tax-exempt interest income ............. $ 7,000 Sales ....................... 140,000 Depreciation recapture income...
What are the Ethical Considerations for remuneration approaches? Do you agree with the excessive CEO compensation? Please provide an example and justify your answer. Define restricted stocks. Provide...
John and Nina Hartwick, married 17 years, have a 13-year-old daughter. Eight years ago, they purchased a home on which they owe about $240,000. They also owe $6,000 on a two-year-old automobile. All...
In the diagram, the line PQ divides the circle with centre O and radius r into two segments. Show that when angle POQ = 2.6 radians, the area of the larger segment is approximately twice the area of...
The diagram shows a sector P of a circle with centre A and radius 6 cm. Angle BAD = 2/3 radians. CB and CD are tangents to the circle at B and D. The shaded region inside the circle is P and the...
When expenses exceed revenues in a given period, a. Stockholders equity will not be impacted. b. Stockholders equity will be increased. c. Stockholders equity will be decreased. d. One cannot...
Explain why payment, loan balance, lender's yield, effective borrowing cost and present value are the five important qualities or measures that are important mortgage loan analytics?
Give the n assets portfolio characteristics. Explain what contributes to the risk of the portfolio. How the risk on the portfolio behaves when there is an infinite number of assets?
How and why do Kellogg and General Mills, the competitor differ in their risk, and how that translates into Moody's/S&P credit ratings? Analysis based on a data for 2021 and 2020.
Taylor Simmons owns an online store that sells small appliance parts. She wishes to see the percentage of sales revenue earned less than a particular amount for various parts sold in her shop. What...
This exercise is the same as (What is the present value of 15 payments of $200 each received every 18 months at a discount rate of 9%?) where we used this formula: Present Value = P * [1 - (1+r)^-n]...
How much will it cost to purchase a 20-year indexed annuity in which the end-of-quarter payments start at $5000 and grow by 0.5% every quarter? Assume that the money used to purchase the annuity...
When is the indirect pattern appropriate, and what are the benefits of using it?
As of May 2016 the U.S. government owes $19,190,059,553,782. To whom does the U.S. government owe money? The list is shown below (in $billions). Use a graphical technique to depict these figures....
Refer to Exercise 2.55. Here is a list of the top 10 foreign governments that own the U.S. debt (in order of magnitude). Depict these figures with a graph. Government Debt China, mainland 1,254.8...
June 7 is known as Tax Freedom day in Canada. The annual taxes paid by an average Canadian family earning $105,236 is $45,167. The breakdown of these taxes is shown in the table below. Use an...
The financial manager of GCC Cereals is in the process of preparing a cash budget for the first quarter of 2021. The firm typically sells 1/3 of its monthly sales on cash terms and the rest on...
Middlesex, Incorporated's sales for the year ended May 31, 2018, were $1,321,000, and cost of goods sold amounted to $720,000. Beginning inventory was $61,000, and ending inventory was $75,000....
Tabitha Batista is a translator who works for a consulting firm in Ottawa. Her 2023 salary is $74,200, from which her employer, a CCPC, withholds maximum CPP contributions and El premiums. RPP...

Find the period of each of these functions. a) y = sin 2x b) y = cos

Question:

Step by Step Answer:

a The period of y sin 2x is We know that the period of y sin bx is given by T 2b Therefore in the gi...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

Students also viewed these Mathematics questions