Prove that, for all values of : a. (1 + sin ) 2 + cos 2
Question:
Prove that, for all values of θ:
a. (1 + sin θ)2 + cos2 θ ≡ 2(1 + sin θ)
b. cos4 θ + sin2 θ ≡ sin4 θ + cos2 θ
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 63% (11 reviews)
a To prove the identity 1 sin cos 21 sin we expand the left sid...View the full answer
Answered By
Ma Kristhia Mae Fuerte
I have extensive tutoring experience, having worked as a private tutor for over three years. I have tutored students from different academic levels, including high school, undergraduate, and graduate levels. My tutoring experience has taught me to be patient, attentive to student needs, and effective in communicating difficult concepts in simple terms.
I have a strong background in statistics, probability theory, data analysis, and data visualization. I am proficient in using statistical software such as R, Python, and SPSS, which are commonly used in academic research and data analysis. Additionally, I have excellent communication and interpersonal skills, which enable me to establish rapport with students, understand their learning styles, and adapt my teaching approach to meet their needs.
I am passionate about teaching and helping students achieve their academic goals.
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 Sec. 34, use expressions (13) and (14) to derive expressions (15) and (16) for |sin z|2 and |cos z|2. (13) sin z = sin x cosh y + i cos x sinh y, (14) cos z = cos x cosh y i sin x sinh y, where z...
-
Generalizing Example 2.17(c), by a trigonometric polynomial of degree in the powers of the sine and cosine functions up to degree n. degree n. (a) Use formula (3.86) to prove that any trigonometric...
-
In Exercises 1-4, verify the identity. 1. tan5 x = tan3 x sec2 x tan3 x 2. sec4 x tan2 x = (tan2 x + tan4 x)sec2 x 3. cos3 x sin2 x = (sin2 x sin4 x)cos x 4. sin4 x + cos4 x = 1 2 cos2 x + 2 cos4 x
-
Hybrid Corporation began operations in 2018 and during that year purchased equity investments. It owns less than 20% of the voting shares for all companies whose stock it purchased. The year-end cost...
-
Golden Hurricane Company plans to own and operate a storage rental facility. For the first month of operations, the company has the following transactions. 1.Issue 10,000 shares of common stock in...
-
Saturated-liquid ethane at T1 = 14C is throttled into a steady flow mixing chamber at the rate of 0.25 kmol/s. Argon gas at T2 = 25C, P2 = 800 kPa, enters the chamber at the rate of 0.75 kmol/s. Heat...
-
What are the implications for doing an internal analysis?
-
Keesha Co. borrows $200,000 cash on November 1, 2015, by signing a 90-day, 9% note with a face value of $200,000. 1. On what date does this note mature? (Assume that February of 2015 has 28 days.) 2....
-
ProForm acquired 80 percent of ClipRite on June 30, 2020, for $800,000 in cash. Based on ClipRite's acquisition-date fair value, an unrecorded intangible of $680,000 was recognized and is being...
-
The following transactions of Beltville College transpired during 2020. The funds necessary are the Endowment Fund, the Annuity Fund, the Plant Fund?Unexpended, the Plant Fund?Investment in Plant,...
-
The equation tan kx = 1/3, where k is a constant and k > 0, has a solution at x = 60 a. Find a possible value of k. b. State, with justification, whether this is the only such possible value of k.
-
The circle C has centre (3, 8) and passes through the point (0, 9). Find an equation for C.
-
What will the firm lose if it shuts down in the long run? When will it do better by producing?
-
Ja-San Company was started on January 1,2007, when the owners invested \($160,000\) cash in the business. During 2007, the company earned cash revenues of \($90,000\) and incurred cash expenses of...
-
Write a program using the programming language of your choice to implement the representation you designed for Review Question 3.3. Have your program solve the problem, and have it show on the screen...
-
All the lenses in Figure P33.98 are surrounded by air. Which of the lenses are converging, and which are diverging? Data from Figure P33.98 A B C D E F )(II)
-
Change the Growth and GrowthDriver classes described in the Improved Accuracy and Efficiency. Using a Step-with-Midpoint Algorithm subsection. Run your modified program with these inputs: For your...
-
For the three-element series circuit in Fig. 9-39, (a) Find the current I; (b) Find the voltage across each impedance and construct the voltage phasor diagram which shows that V 1 + V 2 + V 3 = 100 0...
-
Identify whether each of the following items would be classified as: Income from continuing operations (C) Income from discontinued operations (D) ______ a. $12,000 insurance proceeds on a fully...
-
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...
-
What is the SMR for this group? Occupational Health The mortality experience of 8146 male employees of a research, engineering, and metal-fabrication plant in Tonawanda, New York, was studied from...
-
Perform a significance test to assess whether there is an association between long duration of employment and mortality from cirrhosis of the liver in the group hired prior to 1946. Report a p-value?...
-
A similar analysis was performed among workers who were hired after 1945 and who were employed for 10 or more years. It found 4 deaths from cirrhosis of the liver, whereas only 3.4 were expected....
-
Question 7 of 7 0/14 W PIERDERY Current Attempt in Progress Your answer is incorrect Buffalo Corporation adopted the dollar value LIFO retail inventory method on January 1, 2019. At that time the...
-
Cost of debt with fees . Kenny Enterprises will issue a bond with a par value of $1,000, a maturity of twenty years, and a coupon rate of 9.9% with semiannual payments, and will use an investment...
-
Assume that an investment of $100,000 is expected to grow during the next year by 8% with SD 20%, and that the return is normally distributed. Whats the 5% VaR for the investment? A. $24,898 B....
Study smarter with the SolutionInn App