Show that sin 2 x(1 sec 2 x) + cos 2 x(1 + sec 4 x)
Question:
Show that sin2 x(1 − sec2 x) + cos2 x(1 + sec4 x) has a constant value.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 63% (11 reviews)
To begin we can simplify the expression using trigonometric identities sin2 x1 sec2 x cos2 x1 sec4 x ...View the full answer
Related Book For
Basic Technical Mathematics
ISBN: 9780137529896
12th Edition
Authors: Allyn J. Washington, Richard Evans
Question Posted:
Students also viewed these Mathematics questions
-
In Exercises 1-4, verify the identity. 1. tan5 x = tan3 x sec2 x tan3 x 2. sec4 x tan2 x = (tan2 x + tan4 x)sec2 x 3. cos3 x sin2 x = (sin2 x sin4 x)cos x 4. sin4 x + cos4 x = 1 2 cos2 x + 2 cos4 x
-
Using elementary geometry and the definition of sin x, cos x, we can show that for every x R i) | sin x| ii) sin(-x) = - sin x. cos(-x) = cos x, iii) sin2 x + cos2 x = 1, cos x = 1 - 2 sin2 (x/2),...
-
In Exercises 1-4, factor the expression. Use the fundamental identities to simplify, if necessary. (There is more than one correct form of each answer.) 1. sec2 x - 1 / sec x - 1 2. cos x - 2 / cos2...
-
Based on the illustration of an iPhone shown below, draw a system model for an iPhone. iPhone Components Flash memory. CPU Main circuit boards Communications GSM cell, WiFi, EDGE Battery Display...
-
Amanda has been an employee of Robin, Inc., for almost five years. She is a participant in Robins defined contribution pension plan (money purchase plan). The total contributions made by Robin to the...
-
A person who walks through the revolving door exerts a 90-N horizontal force on one of the four door panels and keeps the 15 angle constant relative to a line which is normal to the panel. If each...
-
The management of an organization performs several broad functions. They are: (a) planning, directing and motivating, and selling. (b) planning, directing and motivating, and controlling. (c)...
-
Fazel Chairs, Inc., makes two types of chairs. Model Diamond is a high-end product designed for professional offices. Model Gold is an economical product designed for family use. Irene Fazel, the...
-
se the revenue and cost graphs on the right to find the approximate cost of manufacturing 8,000 cell phones. "What is the approximate cost of manufacturing 28,000 phones? Dollars (in millions) 5- 4-...
-
Solve for the angle A for the given triangles in the given figures in terms of the given sides and angles, explain your method. A C Fig. 20.42 a
-
Verify each identity by comparing the graph of the left side with the graph of the right side on a calculator. X 2(sin + cos) 2 sin x sec+ csc =
-
Cups of coffee and donuts are complements. Both have inelastic demand. A hurricane destroys half the coffee bean crop. Use appropriately labeled diagrams to answer the following questions. a. What...
-
The manufacturing costs of Ike Industries for three months are provided below: June July Total Costs $ 80,000 125,000 August 105,000 Production 1000 units 2500 units 1100 units Using the high-low...
-
It is valuable to know that 1 milliliter (mL) equals 1 cubic centimeter (cm^3 or cc). How many cubic centimeters are in an 8.00 oz bottle of cough medicine? (1.00 oz=29.6 mL)
-
Wynn Farms reported a net operating loss of $230,000 for financial reporting and tax purposes in 2024. The enacted tax rate is 25%. Taxable income, tax rates, and income taxes paid in Wynn's first...
-
Kubin Company s relevant range of production is 2 0 , 0 0 0 to 2 3 , 0 0 0 units. When it produces and sells 2 1 , 5 0 0 units, its average costs per unit are as follows: Average Cost per Unit Direct...
-
A typical gold bar has dimensions of being 82mm long, 45mm wide and 16mm deep. The current price for gold is $1,368 per ounce (mass). a. What is the total surface area, in square inches, of the gold...
-
Let A be the vector potential and B the magnetic field of the infinite solenoid of radius R in Example 6. Use Stokes' Theorem to compute: (a) The flux of B through a circle in the xy-plane of radius...
-
Selected condensed data taken from a recent statement of financial position of Morino Ltd. are as follows. MORINO LTD. Statement of Financial Position (partial) Other current assets...
-
In problem, examine the scatter diagram and determine whether the type of relation is linear or nonlinear. 22 -2 12
-
In problem, determine whether the function is linear or nonlinear. If the function is linear, state its slope. x y = g(x) -1 .. -3 0 . 4 1 . 7 2 6 3 1
-
In problem, use the figure to solve each inequality. (a) f(x) < g(x) (b) f(x) ¥ g(x) y y = g(x) 6 -3 3 (-3, 12), (1, -3) 3, 12) -12 y = f(x)\
-
Assignment A partnership is a legal entity formed by two or more people who agree to share the profits and losses of a business. Partnership accounting is the process ofrecording and reporting the...
-
Which statement below correctly describes merchandise inventory?Multiple choice question.Merchandise inventory is an asset reported on the balance sheet and contains the cost of products purchased...
-
Consulta las fuentes orientadas y otras de inters relacionadas con la asignatura y realiza las siguientes actividades: Con los conocimientos adquiridos en la unidad y las orientaciones del...
Study smarter with the SolutionInn App