Question: If 2 cos. theta = a + 1/a prove that one of the values of (i) ab + 1 / ab (ii) a^p b^q

If 2 cos. theta = a + 1/a prove that one of

the values of (i) ab + 1 / ab (ii) a^p b^q

If 2 cos. theta = a + 1/a prove that one of the values of (i) ab + 1 / ab (ii) a^p b^q + 1/ a^p b^q is 2 cos (p.theta + q.theta) 1 2 cos = b + is 2 cos (pe+q0) (b) If 2 cos 0 = x + cos ne cos (n-1)0 1 I, prove that x x2 +1 2n 2n-1 x + Xx (c) If x - 2x cos 0 + 1 = 0, show that x - 2x" cos ne + 1 = 0.

Step by Step Solution

★★★★★

3.39 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The detailed ... View full answer

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 Mathematics Questions!

A distributor has heard that one of the major manufacturers from which it buys is considering going direct to the consumer. What can the distributor do about this? What advantages can it offer the...

A friend observes that one of the most useful pieces of information found on a balance sheet is the current market value of assets such as buildings and land. Do you agree or disagree? Why?

The scientists who developed Norvir stated that one of the significant interactions of the inhibitor with the enzyme is hydrogen bonding of a thiazole nitrogen (the thiazole on the right side of the...

Problem 2, 17pts An isotropic elastic body ( E_{y} = 207GPa ; p=79.2GPa) has a uniform state of stress given by: [T] = [[100, 40, 60], [40, - 200, 0], [60, 0, 200]] (MPa) (a) What are the strain...

Draw the region bounded inside the polar curve r = 4 coe Theta and outside r = 2 cos Theta and find its area

The plane truss is made of three members and is loaded with force P as shown. Each member has the same E, A and L as shown below. Determine, a) the displacements at node 1, b) the reaction forces....

Surfaces of Revolution Let $\mathcal{S}$ be the surface formed by rotating the region under the $\operatorname{graph} z=g(y)$ in the $y z$-plane for $c \leq y \leq d$ about the $z$-axis,...

Let $\mathcal{D}$ be the region bounded by a simple closed curve $C$. A function $\varphi(x, y)$ on $\mathcal{D}$ (whose second-order partial derivatives exist and are continuous) is called...

The Laplace operator $\Delta$ is defined by \[ \Delta \varphi=\frac{\partial^{2} \varphi}{\partial x^{2}}+\frac{\partial^{2} \varphi}{\partial y^{2}} \] For any vector field...

MATLAB ASSIGN 1- Follow Directions and Complete. Will Thumbs Up! Directions: Unless otherwise specified, your write-up should contain the MATLAB input commands, the corresponding output, and the...

If a business process is implemented with OLRT processing, we do not need to worry about update completeness and update accuracy. Do you agree? Discuss fully.

24. An electronics manufacturer can produce either MP3 players or cell phones. As the result of a decrease in the price of cell phones, the firm produces more MP3 players and fewer cell phones. An...

6.41 The voltage across a 2-H inductor is 20(1 e 2 t ) V. If the initial current through the inductor is 0.3 A, find the current and the energy stored in the inductor at t = 1 s.

Determine the maximum contribution that can be made to a Keogh plan in each of the following cases. In all instances, the individual is self-employed, and the self-employment tax reduction has...

Will, who is single and under age 50, is employed as a full-time tax accountant at a local manufacturing company where he earns $73,000 per year. He participates in a pension plan through his...

Suppose the spot exchange rate for the Canadian dollar is Can$1.09 and the six-month forward rate is Can$1.11. a. Which is worth more, a U.S. dollar or a Canadian dollar? b. Assuming absolute PPP...

On December 1, Bob Wonder began an auto repair shop, Wonders Quality Automotive. The following transactions occurred during December: Dec. 1 Wonder contributed $55,000 cash to the business in...

The Franklin Retail Company entered into the following transactions during 2007. [The transactions were properly recorded in real (balance sheet) accounts unless otherwise indicated.] Date...

Sophie a 42 year old freelance graphic designer had enjoyed a successful year with her design studio bringing in 150000 in revenue against operational costs of 45000

Use the data in Example 8.5.4, comprising a sample of n = 10 lactic acid measurements in cheese. Assume, as we did there, that the lactic acid measurements are a random sample from the normal...

Suppose that X1, . . . ,Xn form a random sample from the Poisson distribution with unknown mean ( > 0). Show that the joint p.f. of X1, . . . , Xn has a monotone likelihood ratio in the statistic

Suppose that the distribution of X is symmetric around a point m. Prove that m is a median of X.

Serges graduated commission scale pays him 3% on his first $30,000 in sales, 4% on the next $20,000, and 6% on all additional sales in a month. What is his average commission rate on sales for a...

A provincial Minister of Education recently announced that his governments forecast expenditure of $2.68 billion on education next year represents 23.5% of the provincial budget. Rounded to the...

A full-service broker charges a commission rate of 2.2% of the total dollar value of a stock transaction. A discount broker charges a transaction fee of $25 plus an additional five cents per share....