Question: (a) Show that and explain why there is a restriction on the domain of . (b) Use the binomial expansion to show that giving the

(a) Show that

sin 40 = 4 sin 0 (1 - 2 sin0)(1-sin0), -TT/2 <0

and explain why there is a restriction on the domain of θ.

(b) Use the binomial expansion to show that

(1-sin0) = 1-sin0-sin0 -sin0 + A sin0 +...

giving the value of A.

(c) Show that sin 4θ can be expressed in the form

sin 40 = 4 sin0 - 10 sin0+ sin0 + sin'0 +...

sin 40 = 4 sin 0 (1 - 2 sin0)(1-sin0), -TT/2

Step by Step Solution

★★★★★

3.43 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a b c sin 40 2 s... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Modern Engineering Mathematics Questions!

Q:

In this problem, you will calculate the transmission probability through the barrier illustrated in Figure 16.10. We first go through the mathematics leading to the solution. You will then carry out...

Q:

1. Hannah is applying for a life policy on her girlfriend Sarahs life. The policy is $500,000 and carries a large premium. Hannah is the main earner, so she is concerned about not being able to pay...

Q:

Practice Problem On January 1, 2014, Plant Company purchased 80% of the common stock of Sun Company for $775,000. Sun reported the following: Income Dividends 2014 $350,000 $45,000 2015 2016 $360,000...

Q:

s sf Define the terms opaque type and concrete type. [5 marks] The following is a shortened version of one of the definition modules described in the Modula-2 user manual: Provide a suitable...

Q:

Please help me answers these questions on paper showing the work pleaseee Lesson 2: Reflections The Module 1: Lesson 2 Assignment is worth 4 marks. The value of each question is stated in the left...

Q:

Solve, these questions as provided below. Assignment .: 1 Q search Question 3 Automatic Joom 6 marks (a) Draw a sketch of the functions y = er and y = x* to see that there is a point of intersection...

Q:

\fCOMPLEX VARIABLES AND APPLICATIONS Eighth Edition James Ward Brown Professor of Mathematics The University of Michigan-Dearborn Ruel V. Churchill Late Professor of Mathematics The University of...

Q:

\fCOMPLEX VARIABLES AND APPLICATIONS Eighth Edition James Ward Brown Professor of Mathematics The University of Michigan-Dearborn Ruel V. Churchill Late Professor of Mathematics The University of...

Q:

HOMEWORK C++ An organization can be applied paying little mind to recovery. Since it is associated with dynamic attacks, focal issue will be area rather than aversion. If a encroachment is perceived...

Q:

Data set Theory Assume an informational record with one association parent including matches (a, b) where a can't try not to be a parent of b. (a) Write a Datalog demand which gives the graph of...

Q:

Find the standard matrix for the linear operator T: R2 R2 that maps a point (x, 7) into (see the accompanying figure) (a) Its reflection about the line y = -x (b) Its reflection through the origin...

Q:

A client comes to your office. He immediately admits that he is a convicted felon. He tells you last week he was arrested on his way home from work in Orlando, Florida. The charge is Possession of a...

Q:

At first sight, the statutory contract may be viewed as an effective method of enforcing a shareholders rights, especially when considered alongside s 630 and the application of General Equitable...

Q:

If all companies use direct and digital marketing databases, there is no need for traditional marketing research! This statement was made by a postgraduate marketing student attending an Australasian...

Q:

What do you expect the electronic spectrum to look like for the ground and excited states shown in the figure below? Excited state Ground state Distance ABsoug

Q:

Why are the spectra of the individual molecules in the bottom trace of Figure 25.15 shifted in frequency? 10,000 Molecules x1 1,000 x10 x100 100 10 Frequency Absorption

Q:

Suppose you obtain the UV photoelectron spectrum shown here for a gas-phase molecule. Each of the groups corresponds to a cation produced by ejecting an electron from a different MO. What can you...

Q:

def valid _ format ( s ) :

Q:

A spacecraft is on a mission to reach Mars, which is approximately 7 8 million kilometers away from Earth. If the spacecraft travels at a constant speed of 2 5 , 0 0 0 km / h , how long will it take...

Q:

1-11: A car manufacturer is considering locating an assembly plant in your region. List two simple, two intermediate, and two complex problems associated with this proposal from your perspective.