Show that (3 2 sin x) 2 (3 2 sin x) 2 8 cos 2 x has constant value for all x and state this value ...

We can start by expanding the squares of the two terms on the left si ...

Show that (3 + 2 sin x) 2 + (3 2 sin x) 2 + 8

Question:

Show that (3 + 2 sin x)² + (3 – 2 sin x)² + 8 cos² x has constant value for all x and state this value.

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Aug 27, 2021 12:57 AM

See More Questions

Show that | sin x cos x | < 2 for all x.
Show that the total length of the ellipse x = a sin θ, y = b cos θ a > b > 0, is where is the eccentricity of the ellipse (e = c/a, where c = √a2 b2). L- 4a VI- e sin 0 de m/2 Jo
Show that the equation 2x 1 sin x = 0 has exactly one real root.
In Problems 25 54, solve each system. Use any method you wish. 2xxy + y = 8 xy = 4
A solution is made up by dissolving 15.0 g MgSO47H2O in 100.0 g of water. What is the molality of MgSO4 in this solution?
In Figure sound waves A and B , both of wavelength , are initially in phase and traveling rightward, as indicated by the two rays. Wave A is reflected from four surfaces but ends up traveling in its...
Assume that Lee agrees to the assignment of the house-painting contract to Karen as stated in question 3. Thereafter, Lee fails to perform the contract to paint Karens house. Karen sues Sally for...
The Daugherty Porta-Vac project discussed in Section 13.2 has an expected project completion time of 17 weeks. The probability that the project could be completed in 20 weeks or less is 0.9656. The...
10 Charlie Corporation considering a proposal to operate a gold mine in the Yukon. At the end of the project's 10-year life, all the mining equipment will be sold. The equipment had an original cost...
12. Consider the network in figure 1 To send a frame to C, host A puts 88-B2-2F-54-1A-0F in the destination MAC address field of the frame To send a frame to C, host A puts FF-FF-FF-FF-FF-FF in the...
a. Solve the equation 2 cosec x + 7/cos x = 0 for 0 x 360. b. Solve the equation 7 sin(2y 1) = 5 for 0 y 5 radians.
Solve each of these equation for 0 x 360. a. sec 2 x = 4 b. 9 cot 2 x = 4 c. 16 cot 2 1/2x = 9
Draw structures that correspond to the following names. (a) 4-isobutyl-2,5-dimethylheptane (b) 2,3,5-trimethyl-4-propylheptane (skeletal structure) (c) 5-sec-butyl-6-tert-butyl-2,2-dimethylnonane
List and describe three common interview mistakes which compromise the quality of the selection process.
Player I chooses a positive integer x > 0 and player II chooses a positive integer y > 0. The player with the lower number pays a dollar to the player with the higher number unless the higher number...
1. Distinguish between risk management and risk transfer. As the manager of XYZ FBO, what measures would you put in place to ensure risk reduction?
Devlop a sumary of your understanding of Learning and Retention. In the sumary, think about how you see Learning and Retention fitting into the entire study of Organizational Behavior. How does the...
Emani, Peters and Desai et al (2018) "conducted a cross-sectional survey of adopters and non-adopters of the portal...the survey consisted of perceived attributes from the DOI theory,...
Dufner Co. issued 15-year bonds one year ago at a coupon rate of 4.8 percent. The bonds make semiannual payments. If the YTM on these bonds is 5.3 percent, what is the current dollar price assuming a...
Would you use the adjacency matrix structure or the adjacency list structure in each of the following cases? Justify your choice. a. The graph has 10,000 vertices and 20,000 edges, and it is...
Kaiwan, Inc., a calendar year S corporation, is partly owned by Sharrod, whose beginning stock basis is $32,000. During the year, Sharrods share of a Kaiwan long-term capital gain (LTCG) is $5,000,...
Mary is a shareholder in CarrollCo, a calendar year S corporation. At the beginning of the year, her stock basis is $10,000, her share of the AAA is $2,000, and her share of corporate AEP is $6,000....
Assume the same facts as in Problem 36, except that the two shareholders consent to an AAA bypass election.
During 2024, its first year of operations, Hollis Industries recorded sales of $11,900,000 and experienced returns of $760,000. Cost of goods sold totaled $7,140,000 (60% of sales). The company...
What is the value of a 15% coupon bond with 11% return? Is it a discount or a premium bond?
A manufacturer with a December 31 taxation year end sells new machinery for $50,000 on January 2, 2022. The cost of the machinery is $20,000. The terms of the sale require an initial payment of...

Show that (3 + 2 sin x) 2 + (3 2 sin x) 2 + 8

Question:

Step by Step Answer:

We can start by expanding the squares of the two terms on the left si...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions