Question: a) Express 2 cos x sinx in the form (cos x + p) + q, stating the values of p and q. b) Use

a) Express 2 cos x − sin²x in the form (cos x + p)² + q, stating the values of p and q.

b) Use your answer to part (a) to find the maximum and minimum
values of 2 cos x − sin²x.

Step by Step Solution

★★★★★

3.41 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a We can start by expanding cos x p using the formula cos x ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Complete Pure Mathematics Questions!

Q:

Suppose that the person with the above utility function is struck by lightning. He survives, except now his utility function is u = 1 log(x1 1) + 2 log(x2 2). Will his consumption decisions change...

Q:

In Exercises 1-2: (a) Find the coordinate vectors [x]B and [x]C of x with respect to the bases B and C, respectively. (b) Find the change-of-basis matrix PCB from B to C. (c) Use your answer to part...

Q:

Calgary Board of Education CBe-Learn 3. Express the following quadratic functions in the form y = a(x - p) + q by completing the square: a) y=x -10x -14 E b) y=5x2 +30x+15 4. Factor the following...

Q:

A. B. A. B. ( ( ) ) Beginning and Intermediate Algebra An open source (CC-BY) textbook Available for free download at: http://wallace.ccfaculty.org/book/book.html by Tyler Wallace 1 ISBN...

Q:

1. Find the area of the sector of a circle with diameter 30 feet and an angle of . radians. Round your answer to four decimal places. A = Number ft 2 Show your work and explain, in your own words,...

Q:

FSA Home M Inbox (4 | Microor |C Microor = Untitled 18: MY UTE Courses microbi AMI Water is Q intellish JOB BO cengag 5.4 X X C @...

Q:

@ Recall that to find a resultant vector, we add like components. If v = v1i+ v2j and w = wli + lvzjI then it + w 2 (v1 + w1}i + (v; + w2}j. Hence, the resultant vector u can be found as follows....

Q:

help me show the working with correct answer QUESTION 3 sing (a) Show that = cot-. 1-cos 0 | 4 marks | (C3, CLO3, MQF LOD6) (b) Prove that tan 30_ Stand - tan' o 1-3 tan' 9 [ 5 marks | (C3, CLO3, MQF...

Q:

In Exercises 31 and 32, find an equation for (a) the tangent to the curve at P and (b) the horizontal tangent to the curve at Q. 31. 32. 5, 2 1 4 P # 4 x 2 O y =4+ cot.x - 2csc x 0 y =1 +12 csc x +...

Q:

Coastline Home - cccd.edu x - Writing Assignment 6: Rent Cont *Cult_Assignment_4.docx X C A coastdistrict.instructure.com/courses/88724/assignments/1587775 DEN WEST CORI GWC = ECON110-23092 (ONL) >...

Q:

Figure Q1.1 below shows a diagram of a proposed sewer network. The pipe slope and proposed diameter is also shown. Use the attached HRS chart and the proportional discharge/ depth chart to complete...

Q:

Wilco's production and cost data for the first six months are presented below: Month January February March April May June Cost $11,000 $10,800 $12,500 $13,200 $13,000 $11,850 Units Produced 6,000...

Q:

Flona has been smoking for years, even though she knows is is bad for her, The decides to go to a therapiat who helps her woing aversion therapy. Her therapits vubsests that hona puss an elastic band...

Q:

7 Write a PRP that calculates both Maxx3 f(x) as object number 33, and Max2( x3,x4) f(x) as object number 37.

Q:

If the average SBP for people of comparable age is 130 mm Hg, is there an association between glaucoma and blood pressure? Ophthalmology, Hypertension A study is conducted to test the hypothesis that...

Q:

What is the best point estimate for p, the probability of a failure with the drug? Sexually Transmitted Disease Suppose a clinical trial is conducted to test the efficacy of a new drug,...

Q:

What is a 95% CI for p? Sexually Transmitted Disease Suppose a clinical trial is conducted to test the efficacy of a new drug, spectinomycin, for treating gonorrhea in females. Forty-six patients are...

Q:

Ramble On Co . wishes to maintain a growth rate of 1 0 . 2 percent per year, a debt - equity ratio of 9 , and a dividend payout ratio of 2 0 percent. The ratio of total assets to sales is constant at...

Q:

The following information is available for a company's maintenance cost over the last seven months. Using the high-low method, estimate both the fixed cost per month and variable cost per unit for...

Q:

Martinez Company's relevant range of production is 7,500 units to 12,500 units. When it produces and sells 10,000 units, its average costs per unit are as follows: Direct materials Direct labor...