Prove each of these identities. a. cos 2 x sin 2 x 2 cos 2
Question:
Prove each of these identities.
a. cos2 x − sin2 x ≡ 2 cos2x − 1
b. cos2x − sin2x ≡ 1 − 2 sin2x
c. tan2x − sin2x ≡ tan2 x sin2x
d. cos4x + sin2x ≡ sin4 x + cos2x
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 63% (11 reviews)
a cos2 x sin2 x 2 cos2 x 1 Starting with the lefthand side cos2 x sin2 x cos2 x 1 cos2 x 2 cos2 x 1 ...View the full answer
Answered By
Joyline kamoing
Hi! This is Karan. As a tutor, I am highly skilled in helping students understand complex concepts in a clear and concise manner. I am patient and empathetic, able to listen to my students' questions and concerns and provide tailored solutions to help them overcome their difficulties.
I have a deep passion for teaching and a natural ability to explain abstract ideas in ways that are engaging and accessible to my students. I am able to break down complex problems into smaller, more manageable steps, and use a variety of teaching techniques and materials to help my students grasp difficult concepts.
My approach to tutoring is highly personalized, with a strong focus on understanding my students' individual needs and learning styles. I take the time to get to know my students, identify their strengths and weaknesses, and tailor my teaching methods accordingly. I provide constructive feedback and positive reinforcement, encouraging my students to keep working hard and never give up on their goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
Prove that each of these identities is true. You may use any of the identities that have been proved in this chapter. a. secA - sin A tan A = cos A b. 1/sin2A - 1/tan2A = 1 c. secAcosB - tanAsin -...
-
Prove each of these identities. a. cos 2 x sin 2 x = 2 cos 2 x 1 b. cos 2 x sin 2 x = 1 2 sin 2 x c. cos 4 x + sin 2 x cos 2 x = cos 2 x d. 2(1 + cos x) (1 + cos x) 2 = sin 2 x e. 2 (sin x +...
-
Prove each of these identities. a. b. c. d. e. f. sin x COS X = sec x cOsec x cos x COS X sin x
-
An investment project has annual cash inflows of $3,200, $4,100, $5,300, and $4,500, and a discount rate of 14 percent. What is the discounted payback period for these cash flows if the initial cost...
-
Why are competitive advantages based on brands, as in the consumer goods industry, often more important for long-term value creation than advantages based on product quality or innovation?
-
Fiona lost her pet dog and told Mary, If you find my dog and return him to me, Ill pay you \($200.\) Mary said nothing in response but found the dog and returned him. Fiona refused to pay because...
-
For each of the following sets of data, (1) calculate the mean of the scores \(\left(\mathrm{X}^{-} ight),(2)\) calculate the deviation of each score from the mean \(\mathrm{X}-\mathrm{X}^{-}\), and...
-
On January 1, 2010, Porter Company purchased an 80% interest in the capital stock of Salem Company for $850,000. At that time, Salem Company had capital stock of $550,000 and retained earnings of...
-
How do Lean Management principles integrate with other organizational frameworks, such as Total Quality Management (TQM) and Agile methodologies, to create synergistic approaches for achieving...
-
1. Social Security is indexed to inflation. If the inflation rate is 3 percent over the next 30 years, how much Social Security income will the Rohrbachs receive? How much will their income...
-
Find the exact value of each of the following. a. sin30cos 60 b. sin 2 45 c. sin45 + cos 30 d. e. f. sin 60 sin 30
-
Solve the equation cos 1 (8x 4 + 14x 2 16) = .
-
A flask that can withstand an internal pressure of 2500 torr, but no more, is filled with a gas at 21.0 o C and 758 torr and heated. At what temperature will it burst?
-
Operant conditioning theory of learning is used in educational research, control of alcoholism, and control of deviant children in a classroom. True False
-
When is an asset deemed long term for holding period purposes? Why is this important?
-
If each systolic reading is exactly twice the diastolic reading, what is the value of the linear correlation coefficient r?
-
Which of these is the loss of a persons individuality and tends to undertake activities as dictated by the mob or the group? Group size Groupthink Groupshift Deindividuation
-
A negative attitude is not responsible for creating mistrust among employees, whereas in a workplace with a positive attitude, inducing competitiveness is taken positively which inspires employees to...
-
In the following reactions, label the oxidizing agent and the reducing agent. a. 2Al(s) + 3F2(g) 2AlF3(s) b. Hg2+(aq) + NO2(aq) + H2O(l) Hg(s) + 2H+(aq) + NO3(aq)
-
Identify the tax issues or problems suggested by the following situations. State each issue as a question. Jennifer did not file a tax return for 2007 because she honestly believed that no tax was...
-
If 50% of the Olmstead County population is male and 50% is female, what was the overall CHD mortality rate in Olmstead County in 1998? Cardiovascular Disease Mayo Clinic investigators have tracked...
-
What is the expected overall CHD mortality rate in Olmstead County in 2015 if these trends continue? The investigators reported that for both men and women, inhospital CHD death rates were declining...
-
In 2015, what proportion of the CHD deaths will occur in women? The investigators reported that for both men and women, inhospital CHD death rates were declining at a rate of 5.3% per year, whereas...
-
The decision making 1- How The four functions of management process effect the decision making? 2- decisions and decision making conditions (need a example for each type ) 3- the different decision...
-
If a Hershey's Chocolate allows its lower level managers to aid in the decision making process because these managers are more aware of what is going on and need to develop their decision making...
-
Due to erratic sales of its sole producta high-capacity battery for laptop computersPEM, Incorporated, has been experiencing financial difficulty for some time. The company's contribution format...
Study smarter with the SolutionInn App