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Trigonometric property | Similar property of A(x) and B(x) | Similar or rather different? |
\cos(x)^2+\sin(x)^2 =1 | ||
\cos(0) =1 ,\quad \sin(0)=0 | ||
\cos(2x) = 2\cos^2(x)-1 | ||
|\cos(x)|\leq 1, \quad |\sin(x)|\leq 1 | ||
\frac{d}{dx}(\sin(x)) = \cos(x), \quad \frac{d}{dx}(\cos(x)) = -\sin(x) | ||
etc ... |
Which is the biggest and which the smallest of 2000^{2002}, 2001^{2001} \text{and } 2002^{2000}?
In this article we are going to look at infinite continued fractions - continued fractions that do not terminate.
Explore the hyperbolic functions sinh and cosh using what you know about the exponential function.