Question: Prove that cos(l) is irrational.

Prove that cos(l) is irrational.

Step by Step Solution

★★★★★

3.40 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Suppose there exist q p N such that Then Now 2p2k N for each 0 k ... 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

Document Format (1 attachment)

Word file Icon

741-M-N-A-D-I (465).docx

120 KBs Word File

Students Have Also Explored These Related Numerical Analysis Questions!

Q:

Prove that cos 2/x = 0. lim

Q:

Prove or disprove that the product of two irrational numbers is irrational.

Q:

Prove that if x is irrational, then 1/x is irrational.

Q:

Prove 4x 3x x 1 1 3 cos x cos 4x 3x 3 cosei Prove x = cos- -l 2'

Q:

The colored writing below are the notes my professor is asking the work to be done like. I'm unsure as he didn't like the way my work is done. ex: ) lim As X-8 , X-8- (x-8) M F(x)- Note: Let Fix) =...

Q:

Hello I need help with this assignment please thank you Problem(1) (10 points) Complete the following Truth table. P q p q pq PVq PA -9 -PV -9 -(pAq) -(PVq) T T T F F T F F P P 9 P q p q p - q p q q...

Q:

From Exercise 8.14) Prove: Irrational(x) Irrational(). [Hints: An irrational number is a number that cannot be expressed as a fraction with a whole number in both the numerator (the top) and the...

Q:

Contrapositive and contradiction Consider the following claim: For all integers m and n, if mn + 1 is odd then m is even or n is even. Prove the claim using a proof by contrapositive Prove the claim...

Q:

Exercise Set 6.1: Sum and Difference Formulas Simplify each of the following expressions. 1. sin ( x ) 2. 3 cos x + 2 3. cos x 2 4. sin ( + x ) 5. sin 60 + sin 60 + 6. cos 60 + cos 60 + 7. cos x +...

Q:

5. In this question you will prove that 3 is irrational. (a) Let n be an integer. Prove that if 3|n 2 then 3|n. Hint: consider the contrapositive and consider cases. (b) Following the proof that 2 is...

Q:

As the Spanish Sales Manager for a company that makes specialist computer tablets you are facing a difficult situation concerning results; your sales. Your currently sell in physical retail outlets...

Q:

Today, the Japanese yen - Canadian dollar exchange rate is 98.00. What is the 2-year forward exchange rate if the Japanese yen interest rate is 0.2404% and the Canadian dollar interest rate is 1.08%?

Q:

Tables in Access organize data in columns and rows, similar to Excel, however Excel isn't able to make connections between different tables where Access is able to make connections between data in...

Q:

(C a s e S t u d y : The Marginal Value of Free Medical Care) To learn more about economic issues related to health care, visit the McEachern Web page, http:// mceachern.swlearning.com/, click on...

Q:

4. (a) Suppose that 0

Q:

3. Let n E N. Write as a sum none of whose terms has an h in the denominator. 17

Q:

2. Use the Binomial Formula to prove each of the following. (a) 2n = L~=o (~) for all n E N. (b) (a + b)n ;::: an + nan-lb for all n E N and a, b ;::: O. (c) (1 + l/n)n ;::: 2 for all n E N.

Q:

Sheridan Company manufactures and sells two products. Relevant per-unit data concerning each product follow: Product Basic Deluxe Selling price $40.00 $52.00 Variable costs $18.00 $27.50 Machine...

Q:

The net preseat value (NPV) method estimates how much a potential project will contribute to the more value the project adds; and added value means a stock price. In equation form, the NPV is defined...

Q:

Healthcare Financial Management and Economics Week 9 Assignment-Budgeting and Variance Analysis Instructions The following are budgeted and actual revenues and expenses for a hospital Budgeted Actual...