MHB Find the domain of the function .

Thread starter Riwaj
Start date Oct 22, 2017
Tags

Domain Function

AI Thread Summary

To find the domain of the function f(A) = (1 + sinA) / (1 - sinA) given its range is {0, 1, 3}, the equation f(A) = 0 leads to solving 1 + sinA = 0, resulting in sinA = -1. For f(A) = 1, the equation simplifies to 1 + sinA = 1 - sinA, giving sinA = 0. Lastly, for f(A) = 3, the equation 1 + sinA = 3(1 - sinA) leads to sinA = 2/4 or sinA = 1/2. The domain is thus determined by the values of A that satisfy these conditions. The analysis reveals the specific angles corresponding to these sine values, defining the complete domain of the function.

Oct 22, 2017

Riwaj

1) Given that the range of function f(A) = \frac{1 + sinA}{1 - sinA} is { 0,1,3} . Find the domain of the function .

Mathematics news on Phys.org

Oct 22, 2017

Prove It

Gold Member

MHB

Riwaj said:

1) Given that the range of function f(A) = \frac{1 + sinA}{1 - sinA} is { 0,1,3} . Find the domain of the function .

Let f(A) = 0 and solve for A.

Do the same for 1 and 3.

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...

View full post »

Thread 'Fixing Things Which Can Go Wrong With Complex Numbers'

Greg tells me the feature to generate a new insight announcement is broken, so I am doing this: https://www.physicsforums.com/insights/fixing-things-which-can-go-wrong-with-complex-numbers/

View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...

View full post »