a. Given that 2(sin x + 2 cos x) = sin x + 5 cos x, find
Question:
a. Given that 2(sin x + 2 cos x) = sin x + 5 cos x, find the exact value of tan x.
b. Given that sin x cos y + 3 cos x sin y = 2 sin x sin y − 4 cos x cos y, express tan y in terms of tan x.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 60% (5 reviews)
a To find the exact value of tan x given the equation 2sin x 2 cos x sin x 5 cos x we can simplify t...View the full answer
Answered By
Collins Njuguna
I graduated from Maseno University with a Bachelor of Science in Applied Statistics. After graduation, I started tutoring students in mathematics. My experience in mathematics education is extensive and varied. I have taught a wide range of topics, including algebra, geometry, trigonometry, calculus, statistics, probability, and computer science. I have also worked with students of all ages and backgrounds, from elementary school to college.
My teaching method is based on the idea of hands-on learning. I believe that students learn best when they are actively engaged in the learning process, so I focus on giving students the tools they need to explore the material on their own. I also emphasize the importance of practice and review, as these are essential for mastering math concepts.
I have also developed several online and in-person courses on mathematics. My courses are designed to help students learn mathematics in an efficient and comprehensive way, and I use a variety of activities and exercises to ensure that my students are engaged and motivated.
Overall, my passion for mathematics and teaching has allowed me to be a successful tutor and educator in the field. I am confident that my experience will help your students master the mathematics they need to succeed.
0.00
0 Reviews
10+ Question Solved
Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
Question Posted:
Students also viewed these Mathematics questions
-
In Exercises 1-4, find the exact value of the trigonometric expression given that tan u = 3 / 4 and cos v = - 4 / 5.( u is in Quadrant I and v is in Quadrant III). 1. sin (y + v) 2. tan (u + v) 3....
-
In Exercises 1-2, use the given function value(s) and the trigonometric identities to find the exact value of each indicated trigonometric function. 1. sin 60o = 3 / 2, cos 60o = 1/2 a. sin 30o b....
-
In Exercises 1-4, find the exact value of the expression. 1. sin / 12 cos / 4 + cos / 12 sin / 4 2. cos / 16 cos 3 / 16 - sin / 16 sin 3 / 16 3. cos 130 cos 10 + sin 130 sin 10 4. sin 100 cos...
-
With a fixed cost of $100 per order, Nathan decided it was vital to get his money's worth. His monthly demand for energy drinks was 10,000 bottles and holding cost was estimated at 20% of unit cost....
-
Refer to the transactions described in P24A. Keep in mind that Jake may not need to record all transactions. Required: 1. Record each transaction for Lukes Repair Shop. Keep in mind that Luke may not...
-
An object 15 cm from a concave mirror has a virtual image magnified 2.5 times. Whats the mirrors focal length?
-
(a) Newton plc, to whom you are financial adviser, is preparing its financial statements for the year ended 31 March 1992. It has two wholly owned subsidiaries: - An Italian company, Darwin SpA,...
-
Based on the best available econometric estimates, the market elasticity of demand for your firms product is 1.50. The marginal cost of producing the product is constant at $75, while average total...
-
For 2 - 3 use the following: The company issues 1 0 % , 1 0 - year bonds with a total face amount of $ 1 0 0 , 0 0 0 with interest paid semi - annually. The market rate of interest is 1 0 . 1 % ....
-
a. The list of prohibited items in the court [is/are] posted at the entrance. b. The witnesses, Joe Friel and Bob Blaze, [arrive/arrives] by plane this afternoon. c. Neither Judge Mack or Judge...
-
Find, for 0 x 360, all the solutions of sin 2 x + 1 = 7/2 cos 2 x giving each solution to one decimal place.
-
The perpendicular bisector of the line segment joining (5, 8) and (7, 4) crosses the x-axis at the point Q. Find the coordinates of Q.
-
Who is the project champion, and who are the stakeholders? What influence do they have on a project?
-
Lynda is a manager of an investment center. Her division has been performing below expectations recently because one of its larger projects has not been as successful as anticipated. Given the poor...
-
Mr. Jernigan owns a piece of land on which he grows corn. Corn production annually requires $2,000 in seed, $3,000 in fertilizer, and $6,000 in pesticides. Mr. Jernigan uses his own labor to grow the...
-
ABC Ltd sells kettle. The are sold with a six-month warranty that covers the costs of repairing any manufacturing defects that become apparent within six months of purchase. If minor defects are...
-
Rodolfo is a 25-year-old Italian citizen who is in the United States on vacation. He speaks very little English. During one night while he was out celebrating a friend's birthday, Rodolfo drove his...
-
Review and locate one hazardous material Code of Federal Regulation that you feel is the most important one that is listed in relevance to our industry. Why is this important?
-
Is it possible that the number of classes in a frequency table can have a dramatic effect on the apparent distribution of the data? If so, construct a data set for which a change from five classes to...
-
Using a graphing utility, graph y = cot -1 x.
-
What is the p-value for the test conducted in Problem 7.39? The standard deviation of daily iron intake in the larger population of 9- to 11-year-old boys was 5.56 mg. We want to test whether the...
-
Compute a 95% CI for the underlying variance of daily iron intake in the low-income group. What can you infer from this CI? The standard deviation of daily iron intake in the larger population of 9-...
-
Compare the inferences you made from the procedures in Problems 7.39, 7.40, and 7.41? The standard deviation of daily iron intake in the larger population of 9- to 11-year-old boys was 5.56 mg. We...
-
Blossom Corporation's comparative balance sheets are presented below. - / 1 Blossom CorporationComparative Balance SheetsDecember 3 1 2 0 2 7 2 0 2 6 Cash$ 1 5 , 0 0 0 $ 1 0 , 2 0 0 Accounts...
-
As at December 3 1 , 2 0 2 3 , Oriole Corporation is having its financial statements audited for the first time ever. The auditor has found ( a ) Prepare the necessary journal entries to record each...
-
If a director believes that they may have a possible conflict of interest with the company, what would not be an option for them? Choose the best answer. Question 2 Answer a . To seek to use Section...
Study smarter with the SolutionInn App