Q3. Use the Maclaurin expansion of ex and the definitions sinh x = (e-ex)/2 and cosh x=(ex + e*)/2 tox3show that sinh(x) = x +3!+5!and cosh(x) = 1 +2! 4!+..

As we know that the Maclaurin's expansion of ex=1+x+x22!+x33!+···+xnn!+···

Answered: Q3. Use the Maclaurin expansion of er…

Q3. Use the Maclaurin expansion of er and the definitions sinh x = (e-ex)/2 and cosh x=(e¹ + e*)/2 to +5+ + --- and cosh(x) = 1 + + + - show that sinh(x) = x + 3!

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.5: The Binomial Theorem

Problem 49E

See similar textbooks

Related questions

Q: Solve, in degrees, the trigonometric equation such that 00 < x < 180°. 3 sin² 3x - 7 cos 3x = 5

A: Given 3sin2(3x)-7cos(3x)=5

Q: aircraft (at Z) is spotted by two observers (at X and Y) who are L=1200 feet apart. As the…

A: Given query is to find the height of the airplane.

Q: K Find the exact value of each of the following under the given conditio √3 2 tan α = 3 T 11 (a) sin…

A: The solution is given below

Q: Find the exact value of tan(A+ B), given cos A = − 5/13 and sin B = 3/5 , A in quadrantII and B in…

A: Use the trigonometric identity to simplify for the tan(A+B)

Q: Help With these two parts

A: Here we have to choose the correct option.

Q: Question 5 Verify the identity Question 6 1 cos(x) csc²(x) - sec(x) - cos(x)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 8 Evaluate (in radians) to 3 decimal places: CSC (3.67)

A: Given query is to find indicated angle.

Q: on 7 Show that Hence, show that ion 8 fy cos 3A = cos 2A cos A - sin 2A sin A stion 10 cos 3A Jaman…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Simplify the following expressions without using the foil method (6-10i)(4-4i)

A: Here is the solution:

Q: Use an addition or subtraction formula to find the exact value. tan 19pi/12

A: Use an addition or subtraction formula to find the exact value. tan19π12

Q: tan (x-7)+ +1=0 2

Q: If y = 99, b= 19.3, c = 28.85, find all unknown side lengths and angle measures. Round to the…

A: We use sine law ⇒sinαa=sinβb=sinγc

Q: Problem 1: Verify the identity by transforming one side of the expression into the other side: 1-sin…

A: To verify the given trigonometric identity.

Q: ㅠ 6. Let t = Give an exact value for each: 4 (a) sin(-t) (b) sin 2 3 (c) sin(t) 5 (d) sin(2t) (e)…

A: Trigonometric

Q: The statement sin(sin-¹(x)) = x is true for which value(s) of x?

A: Given statement:- sinsin-1x=x

Q: Question 6 Solve, if possible, the following equations for x, where 0 ≤ x ≤ 360: a) cosx-secx = 1 b)…

A: Note: Since there is a typing error in the interval 0≤x≤360, it shuld be written in degrees. So, we…

Q: and all solutions of the equation 4 sin 6-√3=2 sine. Express the answer in radian measure. Use the…

A: Given query is to find the solution of the expression.

Q: Establish the identity. (12-0) COS Choose the sequence of steps below that verifies the identity. O…

A: Let's simplify given trigonometric expression.

Q: Solve algebraically (without using a calculator) for all exact solutions in the interval [0, 2pi):…

Q: Express the following vector in Cartesian coordinates: A = p(z² + 1)a, - pz cos o a

A: Given Equation:- A=ρz2+1ap-ρzcosϕaϕ

Q: Solve the following quadratic function to find the x-intercepts: f(x) = x² - 6x +9 x=3 x = -3 and 3…

A: SOLUTION-

Q: Find an equation for the hyperbola that satisfies the given conditions. vertices: (0, 2), hyperbola…

A: Given:

Q: Compute the following using a calculator: cos(38°). Round your answer to two decimal places. Provide…

A: Topic - Trigonometric ratios Reference angle: Reference angle is the acute angle made by terminal…

Q: THE GIVEN GRAPH BELOW: SIN SE U HAVE ME@ THE END. -24-1 +++ -3 -3 2 -2+ 14 1 2TM

A: Given query is to find the graph.

Q: The angle of elevation from a radar antenna to an airplane is 5°50". The antenna is 10 meters above…

Q: Q1. Graph the polar equation: I = 1+sin 0 Fill the table and use the values to graph. Use π/4 as…

A: The given polar equation is r=1+sin θ

Q: 16. Use f(t) = 4 tan(t - 7) to answer the questions below. (a) Find the period. (b) Find one…

Q: Explain the Law of Cosines mathematically. Why does it work? Is there a proof?

A: The law of cosines is used to solve oblique traingles. Using the law of cosines to compute the…

Q: 3. Given the point (x, y)=(-40/3,40). Convert this point to polar coordinates, (r.), with r>0 and 0…

A: given (x,y)=(-403,40)in polar coordinates x2+y2=r2and tan(θ)=yx

Q: A side and a diagonal of a parallelogram are 12 inches and 19 inches respectively. The angle between…

Q: Problem 74: sec x = -1 Solve the equation x on the interval [0, 2)

A: Topic - Trigonometric Equations We are given sec x =-1

Q: ixl.com/math/level-l/trigonometric-ratios-sin-cos-and-tan ✰ Google Home Page C Home - Canva Math…

A: To find the value of sin B.

Q: 5. Given the equation x and y. r= 7 sin(0) + 3 cos (0) Rewrite the equation using rectangular…

A: rormula used is x=rcosθ y=rsinθ

Q: What is the length of the missing side x

A: Finding x with trigonometric identities

Q: Find all exact solutions on the interval [0, 27). If there is more than one answer, enter them as a…

Q: 1. Calculate the ALL missing angles (3) and side lengths (4), using 1 Primary Ratio, the Sine Law,…

Q: If v=41-2j and w=xi +6j, find all numbers x for which ||v+w|| = 6. Select the correct choice and…

A: The two vectors are v=4i-2jw=xi+6j

Q: 27 X 36 45 N

Q: f(x) = x4 - 2x³ +7 Oy approaches negative infinity as x approaches infinity y approaches negative…

A: option (d) is correct

Q: Part B You have already traveled 30 miles east and then 30 miles north. To get back to the start,…

Q: Solve the triangle. a=3, b=8, C= 150° (Round to two decimal places as needed.)

Q: Solve the triangle. b=11, c=10, A=70° BA (Round to two decimal places as needed.) (Round to one…

Q: Find an equation for the hyperbola that satisfies the given conditions. Asymptotes: y = ±x,…

A: The hyperbola has asymptotes y=±x and passes through (10, 6)

Q: 3 y = -sin 3(x - 5) + 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate the expression below without using a calculator. sin(2 cos^−1 sqrt37/37)

A: Given query is to find the value of the expression.

Q: I need to do an imaginary number problem and need help x^2=-100

Q: 6.) 12i + 24i 24

A: Formulas we Use: i2=-1 amn=amn -1n=-1, n is odd 1, n is even The answer is in step 2.

Q: Find the exact value of the following expression. tan 345° The exact value of tan 345° is (Simplify…

Q: Given the triangle below, find sec(0). Enter the answer as a fraction. Provide your answer below:…

Q: Find all of the solutions of the equation cosx- sinx=1 on the interval [0, 360°] Use the paperclip…

Question

Q3. Use the Maclaurin expansion of ex and the definitions sinh x = (e-ex)/2 and cosh x=(ex + e*)/2 to
x3
show that sinh(x) = x +
3!
+
5!
and cosh(x) = 1 +
2! 4!
+..

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here