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1 vote
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What does trigonometric functions of real numbers really mean?

According to right triangle definition, trigonometric functions relates the angle to the ratio of sides of triangle. These functions take angles as input. According to unit circle definition, ...
Vedant Chhapariya's user avatar
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1 answer
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Is there a function such that f(x)= the decimal part of x ( sister function of integer part function). [duplicate]

I'm looking for a little formula that would allow me to convert the degree mesure of an angle into its radian mesure. In case the degree mesure is greater than 360° the complete 360° turns contained ...
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0 votes
1 answer
26 views

Re-definition of scalar product $x \cdot y$ as $\log( 1 + a \, \, x \cdot y)$

Is it possible to set $c_1= c_1(a)$ and $c_2=c_2(a)$ such that for any $a>0$, for any two angles $\theta_i, \theta_j \in [0, 2\pi]$, we have that: $$ \log( 1 + a \cos(\theta_i - \theta_j) ) = c_1 \...
QuantumLogarithm's user avatar