Verify the following are identities. (a) sin u/csc u + cos u / sec u = 1

Question:

Verify the following are identities.
(a) sin u/csc u + cos u / sec u = 1
(b) 1 - cos2 x) (1 + cot2 x) = 1
(c) sin t (csc t - sin t) = cos2 t
(d) 1 - csc2 t/ csc2 t = - 1 / sec2 t

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

See More Books

Question Posted: Jun 21, 2016 09:32 AM

See More Questions

Verify that the following are identities (see Example 6). (a) (1 + sin z) (1 - sin z) = 1/ sec2 z (b) (sec t - 1) (sec t + 1) = tan2 t (c) Sec t - sin t tan t = cos t (d) Sec2 t - 1/sec2 t = sin2 t
Verify that the following are identities (see Example 6). (a) Sin2 v + 1/ sec2 v = 1 (b) Cos 3t = 4 cos3 t - 3 cos t (c) Sin 4x = 8 sin x cos3 x - 4 sin x cos x (d) (1 + cos ) (1 - cos ) = sin2
Verify the following identities for n > 2. () -n2-1 (B) [ .-1) (2) -0
1. Learn the detail background on ERP systems. Discuss how you would integrate ERP systems internal and external across your entire organization or an organization of your choice? Then discuss the...
Choose one of the five competitive forces in Porters model, and describe a new opportunity and a new threat due to e-commerce via the Internet for a specific industry of your choosing.
Analyze the business model of UBER using OLI ( Ownership, Location, Internalization ) framework. How is the sharing economy characterized? What challenges does this economic model face? What are...
Who is often recognized as being the first hospital administrator and what major contributions did she make to nursing and the improvement of patient care?
Assume that Models and More store bought and sold a line of dolls during December as follows: Requirements 1. Compute the cost of cost of goods sold, cost of ending merchandise inventory, and gross...
2. (a) You manage an online resource sharing platform where people can share e-books and others study materials. A typical upload/download takes ten minutes on average, and an interrupted...
Consider a particle is confined in a three-level system. The probability of finding the particle in first level is 0.38, for second level 0.36, and for third level it is 0.26. What is the entropy of...
Evaluate without using a calculator. (a) Tan /3 (b) Sec /3 (c) Cot /3 (d) Csc /4 (e) Tan (- /6) (f) Cos (- /3)
Sketch the graphs of the following on [-, 2]. (a) y = sin 2x (b) y = 2 sin t (c) y = cos(x - /4) (d) y = sec t
What skills must auditors have to provide a quality audit on a systems development project?
Youre working for the college admissions office and need to keep track of the students GPAs, their names, ranks in the class year, and how high they scored on their standardized tests. The highest...
Describe how trying to please every customer turns into a "trap" for traditional production. Aren't customization and multiple options the way of the future, particularly for differing national...
Why is it so hard to increase productivity in the service sector?
Assuming the location of the point of inflection in the girder in Figure P13.4, estimate the moment at $B$. Then compute the reactions at $A$ and $C$. Given: $E I$ is constant. 15' B 10- 16...
Explain briefly the procedures the auditor may use to test the specific audit objectives: (i) Does the inventory exist? (ii) Is the inventory owned by the client?
The diagram shows the cross-section OABCDE through the centre of mass of a uniform prism on a rough inclined plane. The portion ADEO is a rectangle in which AD = OE = 0.6m and DE = AO = 0.8m; the...
a. Why does the Wi-Fi Alliance release compatibility testing profiles in waves instead of combining the entire standards features initially? 27a1.) An 802.11ac Wi-Fi compatibility testing profile...
A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the angle between the string and the horizontal decreasing when 200 ft of string have been let out?
Two sides of a triangle are 4 m and 5 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rate at which the area of the triangle is increasing when the angle...
Boyles Law states that when a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the equation PV = C, where C is a constant. Suppose that at a certain instant...
Use the information below to answer the questions that follow. U.S. $ EQUIVALENT U.K. pound () 1.5939 Canada dollar (Can$) 1.0091 a. Which would you rather have, $100 or 100? CURRENCY PER U.S. $...
What are the molecular mechanisms underlying cellular respiration, and how do they facilitate the conversion of chemical energy stored in organic molecules into adenosine triphosphate (ATP) for...
How can advancements in respiratory diagnostics, imaging modalities, and pulmonary rehabilitation techniques enhance our understanding of respiratory pathophysiology and improve clinical management...

Verify the following are identities. (a) sin u/csc u + cos u / sec u = 1

Question:

Step by Step Answer:

a sin u csc u cos usec 2 u sin 2 u 1 b 1 cos ...View the full answer

Calculus

Students also viewed these Calculus questions