Question: Show that (cos x sin x) + (cos x + sin x) = 2.

Show that (cos x − sin x)² + (cos x + sin x)² = 2.

Step by Step Solution

★★★★★

3.41 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

ANSWER To prove that cos x sin x cos x sin x 2 we can expand both squares a... 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:

a. Use infinite series to show that cos x is an even function. That is, show cos (-x) = cos x. b. Use infinite series to show that sin x is an odd function. That is, show sin (-x) = -sin x.

Q:

The functions cos x and sin x are both unit vectors in C[-Ï, Ï] with inner product defined by (a) Show that cos x ¥ sin x. (b) Determine the value of ||cos x + sin x||2. = | f(x)g(x)dx

Q:

2) a) For the circuit below, what is the charge on each of the capacitors once steady state conditions are reached? b) What is the reading on the ammeter after 3 ms? A 2000 3000 120 V +10 2 uf 1H 3...

Q:

Application: (10 marks) 7) Given tan 170, use the related acute to determine an equivalent expression. (2) 8) Prove the trigonometric identity cos x- sin x = 2cos' x-1 (2) Page 2 of 4 9) A triangular...

Q:

. Be sure to show and explain all work. 10 points each Part 1 - Application A mass oscillating up and down on the bottom of a spring (assuming perfect elasticity and no friction or air resistance)...

Q:

Analytically show that the equations below represent trigonometric identity statements. 5. sin x(cscx + sin xsec x)= soc2 x 6. sec2 0+ csc2 0= sec2 0csc2 0 7. I+ sec 0 tan 0 -= 2csco tan 0 1 + sec 0...

Q:

Spanish Language & Cultur X 21 Google Calendar - Week of X o Mail - Gjyzeli, Beki - Outlool X G calculator - Google Search X Assessment - MATH 190 - | x Homework Help - Q&A fron X + C...

Q:

Fraction of hosts infected Case Study 2 Hosts, Parasites, and Time-Travel 0.8 0.6 0.4 0.2 0 Past Contemporary Future Time Figure \u00031 Horizontal axis is the time from which the parasite was taken,...

Q:

Fraction of hosts infected Case Study 2 Hosts, Parasites, and Time-Travel 0.8 0.6 0.4 0.2 0 Past Contemporary Future Time Figure \u00031 Horizontal axis is the time from which the parasite was taken,...

Q:

Determine the analytic tunction, whose imaginary part is log (x? + y) +x- 2 y 12. v = (A.M.I.E.T.E., Summer 1997) Ans. 2 i log z- (2 i) z + C 13. v = sinhx cos y Ans. sin iz + C x- y 14. v =+Y Ans,...

Q:

On January 1, 2014, Stephenson Corporation agreed to construct a community centre for the Town of Tuason at a price of $4.5 million. At that time, Stephenson estimated that it would take two years to...

Q:

Consider a freely moving particle which is confined in a one dimensional infinite potential well of width L. Using uncertainty principle, estimate the least energy of the particle.

Q:

Which of the following regarding the reasons an investor might consider investing in corporate bonds are most accurate? 1 . They have lower default risk than Treasuries . 2 . They generally pay...

Q:

9 Calculate both x3f(x) as object number 40, and (x3,x4)f(x) as object number 41, and draw the associated graphs.

Q:

Provide a point and interval estimate (95% CI) for the interlaboratory standard deviation of mean zone diameters for each type of control strain, assuming each laboratory uses different media to...

Q:

Answer Problem 6.20 assuming each laboratory uses a common medium to perform the susceptibility tests? Microbiology A nine-laboratory cooperative study was performed to evaluate quality control for...

Q:

Are there any advantages to using a common medium versus using different media for performing the susceptibility tests with regard to standardization of results across laboratories? Microbiology A...

Q:

Q 1 Present, in journal form, the adjustments that would be made on July 31, 2011, the end of the fiscal year, for each of the following. 1. The supplies inventory on August 1, 2010 was 7,350....

Q:

Required information [The following information applies to the questions displayed below.] Victory Company uses weighted average process costing. The company has two production processes. Conversion...

Q:

You decide to fund a scholarship at your high school, starting in three years and going forever. The scholarship will start at $ 2 , 5 0 0 , growing at 3 % . Interest rates are 8 % . How much would...