MHB SE Class 10 Maths - Rational or Irrational Numbers: $\cos(1^0)$ and $\tan(1^0)$

Thread starter juantheron
Start date May 19, 2012
Tags

Irrational Rational

May 19, 2012

juantheron

$\cos(1^0)$ and $\tan(1^0)$ are Rational or Irrational no.

Where angle are in Degree

help required

Mathematics news on Phys.org

May 20, 2012

CaptainBlack

jacks said:

$\cos(1^0)$ and $\tan(1^0)$ are Rational or Irrational no.

Where angle are in Degree

help required

Irrational, the proof can be found >>here<<

CB

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 »

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 'Imaginary Pythagoras'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...

View full post »