If tan 1 x = and tan 1 y = , show that Deduce that where
Question:
If tan^{–1}x = α and tan^{–1}y = β, show that
Deduce that
where k = –1, 0, 1 depending on the values of x and y.
Transcribed Image Text:
tan(a +)= = x + y 1 xy
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
where k0 k 1 if ...View the full answer
Answered By
Tamil Elakkiya Rajendran
I'm currently involved in the research in the field of Biothermodynamics, Metabolic pathway analysis and computational Biology. I always prefer to share my knowledge whatever I have learnt through my degree whenever time permits.
5.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions

The binomial probability distribution is a family of probability distributions with each single distribution depending on the values of n and p. Assume that x is a binomial random variable with n =...

The computer output given below is for Problem 731. Use this to answer the following questions. (a) How much could the profit on X increase or decrease without changing the values of X and Y in the...

VCM made a public offer for the 10 million outstanding shares of PRT. The offer was structured as follows: cash offer of $95 per share for 50.1% of the shares offered (with prorated acceptance of the...

The Cano Company is decentralized, and divisions are considered investment centers. Cano has one division that manufactures oak dining room chairs with upholstered seat cushions. The Chair Division...

A 12F capacitor has an accumulated charge of 480 C. Determine the voltage across the capacitor.

In Problems 7790, use a graphing utility to solve each equation. Express your answer rounded to two decimal places. In x = x  1

Taking a sip of coffee one day, you start thinking about the effort it takes to do so. Your forearm is a type of lever. As shown in Figure P9.79, the biceps muscle is attached to the forearm bone...

Tobias Company reports the following information (in millions) during a recent year: net sales, $11,408.5; net earnings, $264.8; total assets, ending, $4,312.6; and total assets, beginning, $4,254.3....

123456789 10 What is the need of MIS? What are the objectives of MRP? JIT introduced in which country? Advantages of TQM. Discuss about six sigma. Define various levels of CMM. What is mean by supply...

Sketch the curve with polar form r = 1 + 2 cos

Sketch the graph of the functions (a) y = sin 1 (cos x) (b) y = cos 1 (sin x) (c) y = cos 1 (cos x) (d) y = cos 1 (cos x) sin 1 (sin x)

Consider the nonenzymatic elementary reaction A B. When the concentration of A is 20 mM, the reaction velocity is measured as 5 M B produced per minute. (a) Calculate the rate constant for this...

Should AI be used in an academic setting by students? Should it be used in creative settings? Is it fair to the original content/graphics arts creator without granting them royalties or fees?

Automatic versus Manual Processing Red Star Copy Service processes 2,100,000 photocopies per month at its service center. Approximately 50 percent of the photocopies require collating. Collating is...

We consider a continuous time market, where the interest rate r = 0, and the risky asset S = (St)o

You are shopping for a new car. The car that you selected costs $27,534. The dealer is offering 5year financing. Based on the dealer's APR quote, you figure out that the Effective Annual Rate (EAR)...

Identify at least two requirements that must be observed when checking safe food handling practices of organisations. (According to Australia New Zealand Food Standards Code  Standard 3.2.2  Food...

Man Demko is the loading dock supervisor for a dry cement packaging. His work crew is composed of unskilled workers who load transport trucks with bags of cement, gravel, and sand. The work is hard,...

Derive Eq. (18.33) from Eq. (18.32).

A 22.0 g mass of ice at 273 K is added to 136 g of H 2 O(l) at 310 K at constant pressure. Is the final state of the system ice or liquid water? Calculate S for the process. Is the process...

The function f (x, y) is given by f (x, y) = xy sin 5x + x 2 y in y +3e 2x2 cos y. Determine and Obtain an expression for the total differential df. 2 f af a (af ay ax of ay? ax ay a (af a (af ...

Indicate whether you would use sodium ethoxide or potassium tertbutoxide to achieve each of the following transformations: a. b. c. d. Br Br

Pardillo's definition includes the words "extremely satisfied" when describing the service provided to customers. Describe the difference between good customer service and exceptional customer?

What three elements distinguish interpersonal communication from other forms of human communication? Explain.

Why is it important to consider children's individual development when embedding inclusive practices within the service program?
Study smarter with the SolutionInn App