Inverse Trigonometric functions Questions and Answers

csc csc Choose the correct proof below O A csc 0 OB csc 0 OC csc 0 cos Ocot O 0 1 csc 0 sin 0 1 csc 0 OD csc 0 1 csc 1 csc 1 sin 0 sin 0 sec 0 1 sin 0 sin 1 sin 0 2 1 sin 0 sin 0 sin 0 1 sin 0 sin 0 sin 0 1 sin 0 sin 0 sin 0 1 sin 0 cos 0 sin 0 sin 0 2 cos sin 0 cos cos 2 cos 0 cot 0 sin 0 cos 0 cot cos 0 cot 0 cos 0 cot 0

Two variables appear to have an exponential relationship What pattern s does the scatterplot suggest for the model Select the two correct answers 1 point It is only increasing or only decreasing It has a point of inflection It is only concave up or only concave down It has one or more extrema It is both concave up and concave down Ite

1 cost sin t Choose the sequence of steps below that verifies the identity A O B O C sin t 1 cost O D 1 cost 1 cost sin t sint 1 cost sin t 1 cost sin t 1 cost sin t 1 cost sin t 1 cost sin t 1 cost sin t 1 cost 1 cost 1 cost 1 cost 1 cost 1 cost 1 cost 1 cost 1 cos t sin t 1 cos t 1 cos t sin t 1 cost 1 cos t sin t cos t 1 cos t sin t 1 cos t sin t sin t 1 cost sin t sin t 1 cost sin t sin t 1 cost sin t sin t 1 cos t sin t 1 cost sint 1 cost sin t 1 cost sin t 1 cost

onometric Identities Prove the given identity sec xcsc x sin xsec x cos xcsc x Choose the correct proof below A sec xcsc x sin xsec x 1 1 cos x sin x 1 sin X sin x cos x cos 2 X sin x cos x cos x csc x OC sec xcsc x sin xsec x 1 1 cos x sin x 2 1 sin x sin x cos x sin x COS X sin x cos x cos xcsc X cos x Question 6 of 10 OB sec xcsc X sin xsec x 1 1 sin x cos x sin x sin x cos x 1 sin sin x cos x cos 2 X cos x cSC X This quiz 25 poi This question 3 OD sec xcsc x sin xsec x 1 1 cos x sin x sin x cos x 2 1 s n x sin x cos x COS cos x cos X CSC X

Which of the following are objections to the technique of cost benefit analysis O Not all the factors to be considered are quantifiable O Long term forecasts of costs and benefits may turn out wrong O Prioritization in cost benefit analysis is not value free O All of the above

A B subset in R1 A B bounded A B x y lxEA y B prove that A B bounded and totally bounded

The value of r 0 9 indicates a stronger relationship than a value of r 0 5 True False

Question 2 Convert the angle 4x 3 from radians to degrees

Driver The following data summarizes results from 866 pedestrian deaths that were caused by accidents If one of the pedestrian deaths is randomly selected find the probability that the pedestrian was intoxicated or the driver was intoxicated Pedestrian intoxicated not intoxicated intoxicated 88 206 not intoxicated 54 518 Points 0 of 2 P pedestrian was intoxicated or driver was intoxicated Round to three decimal places as needed Save

Perform the indicated operation and simplify the result so that there are no quotients 2 sin t cos t The simplified form with no quotients of 2 sint cos t is Do not factor

0 10 pts 3299 Details Starting with the graph of f x 2 write the equation of the graph that results from a shifting f x 3 units right y b shifting f x 7 units upward Y c reflecting f x about the x axis and the y axis Y

11 5 points A wire bolted to the ground 16 feet away from the base is helping a tree stay upright If the angle of elevation of the wire is 44 how long is the wire Round your answer to the nearest tenth

47 15 3 B Bo a Find the missing Angle B Round to the 16 7 Not to Scale

Factor and simplify sin x sin x cot x Choose the correct simplification below O A csc X OB cos x 2 csc 2 CSC O C C O D 1 X

Simplify the given expression The result will be one of sin x cos x tan x cotx sec x or csc x cot x tan x sin x cot x tan x sin x

1 cost sint Choose the sequence of steps below that verifies the identity O A OB sint 1 cost O C 1 cost 1 cost sin t sin t 1 cost sin t 1 cost sin t OD 1 cost sin t 1 cost sin t 1 cost sin t 1 cost sin t 1 cost 1 cost 1 cost 1 cost 1 cost 1 cost 1 cost 1 cost 1 cos t sin t 1 cos t 1 cos t sin t 1 cos t 1 cos t sin t 1 cost 1 cos t sin t 1 cost sin t sin t 1 cost sin t sint 1 cost sin t sin t 1 cost sin 2t sin t 1 cost sin t 1 cost sin t 1 cost sin t 1 cost sint 1 cost

secx secx sin x cos x Choose the sequence of steps below that verifies the identity OA identity OB O C 1 secx secx sin x sec x 1 sin x COS X secx secx sin x secx cx sin x 1 2 secx sec x sin x secx 1 sin x OD secx secx sin 2x 1 sin x cos x 1 COS X cos x cos x 1 cos x cos X COS X COS X COS X

Verify the identity sin 0 sec 0 tan 0 Which of the following four statements verifies the identity O A sin 0 sec 0 sin 0 OB sin 0 sec 0 OC sin 0 sec 0 cos sin 0 sin 0 cos 0 1 cos 0 OD sin 0 sec 0 sec 0 sin 0 1 COS cos sin 0 cos 0 cos sin 0 tan 0 sin 0 cos tan 0 cos 0 sin 0 P tan 0 tan 0

Multiply and simplify csc 0 sin 0 0 COS CSC sc 0 sin 20 cos 0 Simplify your answer

What is the measure of Angle B A C m B 67 53 B

Write the standard form of the equation of the hyperbola subject to the given conditions Vertices 3 0 3 8 Foci 3 4 22 3 4 22 The equation of the hyperbola in standard form is 8 0 0 0

The equation of a parabola is given y 2y 12x 11 0 a Write the equation of a parabola in standard form b Identify the vertex focus and focal diameter Express numbers in exact simplest form Part 0 4 Part 1 of 4 The equation of a parabola in standard form is

For y x 7 20 Part 0 5 1 a Identify the center c Identify the foci e Graph the hyperbola Give exact answers Express numbers in simplest form using integers fractions or radicals Part 1 of 5 b Identify the vertices d Write equations for the asymptotes a The center is

2 The graph of the inverse function f 1 is A y B A S x 3 The equation of the inverse function f is A f x ln x 3 4 C f x In 4 B f x In x 4 3 D f x In 3

A function f x is transformed into the function g x 2 x 4 7 Choose the 3 transformations that occurred O Vertical Shift Down 7 O Vertical Shift Up 7 O Vertical Stretch Horizontal Shift Left 4 units

4 8 pts Find the length of the arc of a circle of 13 cm subtended by the central angle of 200 Round your answer to two decimal places

3 8 pts A sector of a circle has a central angle of 125 Find the area of the sector if the radius of the circle is 11 cm Round your answer to two decimal places

Determine whether or not the sentence is a statement You will find the store at the first set of lights Is the given sentence a statement O No because it could be labeled as true or false O No because it is a command It cannot be determined with further information OYes because it could be labeled as true or false

5 Use Divergence Theorem to compute the net outward flux for F x y z where S is the cylinder x y z x y 4 0 z 8 10 points

5 Use Stokes Theorem to evaluate F dr where F y xz y and C is the ellipse x x 10 1 in the plane z 1 8 points

Evaluate the surface integral f S xyz ds where S is the part of the plane z 6 y that lies in the cylinder x y 4 8 points

2 For what values of a b and c is F ax2 by2 cxy conservative 8 points

There is about 50 x 109 of gold atoms in one drop of a sea water How many grams of gold can be obtained from 1 tonne of sea water if we know that the mass of 1 drop is 33 mg 4 9x10 g

The area of the square is 36 square units Find the length of its sides X The length of each of the square s sides is units 3 units

Question 13 The phasor representation of the function20cos 5t 10 is 2j430 A B 20j430 C 52100 D 100 100

What is the perpetual annual worth in the following situation First cost 800 000 Annual cost 10 000 Interest rate 10 O 90 000 O 128 000 O 159 632 O 310 679 John Ste

2 Consider the nonlinear system defined by 2x x 10x 0 0 25 sin x cos x 0 a Show that the fixed point iteration applied to the system will converge to its solution whe 7 72 is restricted to the domain D 0 1 You may define g x x 2x x 10 and g2 x1 x2 0 25 sin x1 cos x2 b Starting with 7 0 0 0 compute using fixed point iteration on

Disposal of fixed asset Equipment acquired on January 6 at a cost of 187 700 has an estimated useful life of 8 years and an estimated residual value of 24 500 a What was the annual amount of depreciation for Years 1 3 using the straight line method of depreciation Year Depreciation Expense Year 1 Year 2 Year 3 b What was the book value of the equipment on January 1 of Year 4 Feedback Check My Work c Assuming that the equipment was sold on January 3 of Year 4 for 120 200 journalize the entry to record the sale If an amount box does not require an entry leave it blank January 3 Cash Accumulated Depreciation E Loss on Sale of Equi Equipmen Feedback Check My Work d Assuming that the equipment had been sold on January 3 of Year 4 for 129 000 instead of 120 200 journalize the entry to record the sale If an amount box does not require an entry le

Paul has worked as the inventory manager with Hypermart Retail for more than 30 years During that time Paul suffered a spinal injury and went on a medical leave for almost two years At the time of his retirement he was informed that he had lost pension eligibility rights because of his medical leave If Paul brings a suit against Hypermart Retail which of the following would be grounds for such a suit a Under the Retirement Equity Act of 1984 pension plans can contain break in service clauses that can cause employees to lose pension eligibility rights if they leave their employment for a period longer than one year b Under the Retirement Equity Act of 1984 an individual can leave the workforce for up to five consecutive years and still retain eligibility for pension benefits c Under the Employee Retirement Income Security Act ERISA employees rights must be fully vested within 20 to 25 years in accordance with the two vesting options available under the law d The Pension Benefit Guaranty Corporation PBGC protects employees covered under defined benefit plans if the employer wrongfully terminates them

The issue before the court in the McLaughlin v Richland Shoe Co case was a whether Richland should be ordered to pay back after the judgment of the Court b whether an action against a company for a willful violation of the minimum wage law must be brought within three years c whether Richland Company should have been paying the minimum wage d whether Richland s actions amounted to discrimination under Title VII of the Civil Rights Act of 1964

Suppose the economy is in a recession The economy needs to expand by at least 450 billion and the marginal propensity to consume is 0 7 What is the least amount the government can spend to overcome the 450 billion gap billion

Macmillan Learning Solve the given triangle Use degree measure C az 10 a 160 B 7 Use decimal notation Give your answers to three decimal places Include the degree symbol in your answers where needed

This question 1 point s possible Consider the following sets U upperclassmen L lowerclassmen S science majors V GPA above 3 0 A art majors T Athletes and D involved in Drama Use the table of students shown to the right to answer the following question Find the number of subsets of the set of students who are seniors and Music majors Type a whole number Major Allen English Belinda Art Carmen Physics Dana Music Junior Elston Sociology Junior Frank Music Senior Gina English Freshman Hector Art Junior Ivana Chemistry Junior James Physics Senior Submit quiz Class Rank GPA Activities Sophomore 2 3 Basketball Freshman 1 8 Newspaper Freshman 3 6 Drama 1 8 Newspaper 2 3 Baseball 3 1 Drama 2 6 Band 2 5 Football 3 2 Newspaper 1 8 Band

11 18 000 is invested at an APR of 8 for 5 year

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Find the absolute change and then find the percentage change Round answers to the nearest tenth if necessary 8 The value of Anna s house increased from 160 000 when she bought it 20 years ago to 1 38 million today

4 An average 12 ounce can of beer contains about 15 grams of alcohol Consider a person with approximately 4 liters 4000 milliliters of blood who quickly drinks two cans of beer If all the alcohol were immediately absorbed into the bloodstream what blood alcohol content would we find 1

The statement There is no excellence without difficulty is an O A OE OI statement

Use the numerals representing cardinalities in the Venn diagram shown on the right to give the cardinality of the set A n B n C n A N B n C 11 6 21 19 18 B 7 20

The number of elements in each region are shown in the Venn diagram to the right Find n B n B