Can Slope and Tan(angle) be Equal?

  • Thread starter Thread starter yaseen shah
  • Start date Start date
  • Tags Tags
    Slope
AI Thread Summary
Slope and tangent of an angle are related, but they can take on different values. The slope of a straight line can indeed be any real number, while the tangent function varies based on the angle and can be 0, 1, or approach infinity. The statement that tangent is limited to the range of 0 to 1 only applies to angles between 0° and 45°. For angles greater than 45°, tangent values exceed 1, which contradicts the original assertion. Overall, the confusion stems from a misunderstanding of the tangent function's behavior across different angles.
yaseen shah
Messages
32
Reaction score
0
my question is that
slope=tan(angle)
slope can be 1,2,3,..,9,0
but tan(angle) can be 0,1 or b/w the intervals or infinity.
so how they can be equal.
 
Mathematics news on Phys.org
Why can "slope" only be "1,2,3...9,0"? :confused:
 
The slope of a straight line can be any real number.
 
Who says that 0 \le tan \enspace \alpha \le 1 [/tex] ?<br /> <br /> That&#039;s only true for 0^\circ \le \alpha \le 45 ^\circ [/tex]&lt;br /&gt; &lt;br /&gt; Try these on your calculator (in degree mode): &lt;br /&gt; TAN 85&lt;br /&gt; TAN 100
 
It seems that the OP is confused about many things. It's hard to even know where to start with this one. :eek:
 
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...
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...
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...
Back
Top