Prove the identity. (sin x + cos x) 2 = 1 + sin 2x

Question:

Prove the identity.

(sin x + cos x)² = 1 + sin 2x

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

Step by Step Answer:

Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

See More Books

Question Posted: Oct 11, 2022 05:23 AM

See More Questions

a) Use the identity sin x + cos x = 1 to prove that b) Use the identity you proved in part (a) to find the minimum values of 1+ sinx cos.x cosx = tanx + tanx + 1.
Use the identity sin 2x = 2 sin x cos x to find d/dx (sin 2x). Then use the identity cos 2x = cos 2 x - sin 2 x to express the derivative of sin 2x in terms of cos 2x.
Use the identity for sin (A + B) to prove the identity sin 2A = 2 sin A cos A.
Every human being fears to fail. This is the same case with the leaders. Most of the leaders are afraid of some things, but failing is the most feared among all of them. The loss of direction among...
Thirty-four percent of voters think that Congress should help write standards for school food. You randomly select six voters and ask them whether Congress should help write standards for school...
Harold J. Milton (SSN1000-22-1111) is 66 years old and unmarried, filing single with no dependents. He had the following income and deductions for 2018: Complete Milton's 2018 Form 1040, Schedule A,...
Using only the factor formulas given in Table 2.6, derive Equation 7.5 starting with Equation 7.3. TABLE 2.6 Summary of Discrete Compounding Interest Factors. To Find Given Factor Symbol Name P F...
The distribution system for the Herman Company consists of three plants, two warehouses, and four customers. Plant capacities and shipping costs per unit (in $) from each plant to each warehouse are...
How does Visual Basic 2015 facilitate connecting to and using a database? What do you find easy or challenging about making a database connection?
Why is passion such a critical part of entrepreneurial success? Prims founders were apparently passionate about building a company but not the laundry business specifically. In what ways is this...
Prove the identity. sec y - cos y = tan y sin y
Write the number in the form a + bi. e +i
Suppose a 29 ft by 34 ft house has an 8-ft ceiling in all rooms except the 18 ft by 12 ft living room, which has a 10-ft cathedral ceiling. Approximately how many marbles would fit into this house...
What did the term bureaucracy originally mean? What does the word bureaucracy generally signify to the public today? Give an example of a public agency that was highly bureaucratic in nature but is...
4.12. How much will $5,000 be worth in 10 with 6% interest compounded continuously? o years 4.13. How much money must you deposit now to have $5,000 in five years at 6% compounded continuously? 4.14....
In the Law of Diffusion of Innovation, what role do the innovators and early adapters play in the success of a company?
The Presidio, previously a military base in San Francisco, is now a national park. It sits in the middle of San Francisco on some of the most valuable real estates in the United States. When it...
Question 6 To accept a capital project when using NPV, the project NPV should be less than zero. the project NPV should be greater than zero. both "the project NPV should be less than zero. " and...
In Problem 14.6 on page 583, you used radio advertising and newspaper advertising to predict sales (stored in Advertise). Use the results from that problem. a. Construct a 95% confidence interval...
Making use of the tables of atomic masses, find the velocity with which the products of the reaction B10 (n, ) Li7 come apart; the reaction proceeds via interaction of very slow neutrons with...
Compute the volume of the solid of revolution that results when the region in Exercise 81 is revolved about the x-axis. Data from Exercise 81 Find the area of the region bounded by y = sech x, x = 1,...
Explain why lHpitals Rule fails when applied to the limit and then find the limit another way. sinh x limit lim x0 cosh x
Use lHpitals Rule to evaluate the following limits. coth x lim xo1 tanh x X-
3. A ball of mass m and speed v travels horizontally, hits a wall, and rebounds. Another ball of the same mass and traveling at the same speed hits the wall and sticks to it. Which ball has a greater...
1 . Balancing forces on a Seesaw: A parent of mass m 1 = 6 0 kg sits on a uniform beam seesaw of mass M = 4 0 kg , at a distance r 1 = 1 . 0 m to the right of the pivot P ( as pictured below ) . Each...
A block of iron (Fe) of mass mre = 0.200 kg at Tre,i=85.0 C and a block of aluminum (Al) of mass mal at TAL = 5.0 C are brought into direct physical contact inside an insulated chamber. After a long...

Prove the identity. (sin x + cos x) 2 = 1 + sin 2x

Question:

Step by Step Answer:

sin x cos x sin ...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions