Explanation Formula used: sin ( x + y ) = sin x cos y + cos x sin y . Proof: By the above formula the expression, sin ( π 2 + x ) simplified as follows. sin ( π 2 + x )

Bundle: Single Variable Calculus, 8th + WebAssign Printed Access Card for Stewart's Calculus, 8th Edition, Multi-Term

8th Edition

ISBN: 9781305607828

Author: James Stewart

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the se…

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integratio…

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects th…

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.

Videos

Question

Chapter D, Problem 43E

To determine

To prove: The identity sin(π2+x)=cosx.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter D, Problem 42E

Chapter D, Problem 44E

Students have asked these similar questions

Force with 800 N and 400 N are acting on a machine part at 30° and 60°, respectively with the positive x axis

Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.) P = $13,000, r = 6%, t = 10, compounded quarterly A = $ 31902 Need Help? Read It Watch It Viewing Saved Work Revert to Last Response SUBMIT ANSWER O/6.66 Points] DETAILS MY NOTES TANAPCALC10 5.3.003. EVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.) P = $140,000, r = 8%, t = 8, compounded monthly A = $259130.20 X Need Help? Read It Watch It

Find the present value of $20,000 due in 3 years at the given rate of interest. (Round your answers to the nearest cent.) (a) 2%/year compounded monthly (b) 5%/year compounded daily $ Need Help? Read It Watch It SUBMIT ANSWER [-/6.66 Points] DETAILS MY NOTES TANAPCALC10 5.3.009. ASK YOUR TEACHER PRACTICE ANC Find the accumulated amount after 3 years if $4000 is invested at 3%/year compounded continuously. (Round your answer to the nearest cent.) Need Help? Read It Watch It

Chapter D Solutions

Bundle: Single Variable Calculus, 8th + WebAssign Printed Access Card for Stewart's Calculus, 8th Edition, Multi-Term

Ch. D - Prob. 1E Ch. D - Prob. 2E Ch. D - Prob. 3E Ch. D - Prob. 4E Ch. D - Prob. 5E Ch. D - Prob. 6E Ch. D - Prob. 7E Ch. D - Prob. 8E Ch. D - Prob. 9E Ch. D - Prob. 10E

Ch. D - Prob. 11E Ch. D - Prob. 12E Ch. D - Prob. 13E Ch. D - Prob. 14E Ch. D - Prob. 15E Ch. D - Prob. 16E Ch. D - Draw, in standard position, the angle whose...Ch. D - Prob. 18E Ch. D - Prob. 19E Ch. D - Prob. 20E Ch. D - Prob. 21E Ch. D - Prob. 22E Ch. D - Prob. 23E Ch. D - Prob. 24E Ch. D - Prob. 25E Ch. D - Prob. 26E Ch. D - Prob. 27E Ch. D - Prob. 28E Ch. D - Prob. 29E Ch. D - Prob. 30E Ch. D - Prob. 31E Ch. D - Prob. 32E Ch. D - Prob. 33E Ch. D - Prob. 34E Ch. D - Prob. 35E Ch. D - Prob. 36E Ch. D - Find, correct to five decimal places, the length...Ch. D - Prob. 38E Ch. D - Prove each equation. 39. (a) Equation 10a (b)...Ch. D - Prob. 40E Ch. D - Prob. 41E Ch. D - Prob. 42E Ch. D - Prob. 43E Ch. D - Prob. 44E Ch. D - Prob. 45E Ch. D - Prob. 46E Ch. D - Prob. 47E Ch. D - Prob. 48E Ch. D - Prob. 49E Ch. D - Prob. 50E Ch. D - Prob. 51E Ch. D - Prob. 52E Ch. D - Prob. 53E Ch. D - Prob. 54E Ch. D - Prove the identity. 55. sin1cos=csc+cot Ch. D - Prob. 56E Ch. D - Prob. 57E Ch. D - Prob. 58E Ch. D - Prob. 59E Ch. D - Prob. 60E Ch. D - Prob. 61E Ch. D - Prob. 62E Ch. D - Prob. 63E Ch. D - Prob. 64E Ch. D - Prob. 65E Ch. D - Prob. 66E Ch. D - Prob. 67E Ch. D - Prob. 68E Ch. D - Prob. 69E Ch. D - Prob. 70E Ch. D - Prob. 71E Ch. D - Prob. 72E Ch. D - Prob. 73E Ch. D - Prob. 74E Ch. D - Prob. 75E Ch. D - Prob. 76E Ch. D - Prob. 77E Ch. D - Prob. 78E Ch. D - Prob. 79E Ch. D - Prob. 80E Ch. D - Prob. 81E Ch. D - Prob. 82E Ch. D - Prob. 83E Ch. D - In order to find the distance |AB| across a small...Ch. D - Prob. 85E Ch. D - Prob. 86E Ch. D - Prob. 87E Ch. D - Prob. 88E Ch. D - Prob. 89E

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

To prove: The identity sin ( π 2 + x ) = cos x .

Solution Summary: The author explains the formula used to prove the identity mathrmsin(pi

Concept explainers

Videos

To prove: The identity sin(π2+x)=cosx.

Want to see the full answer?

Chapter D Solutions