\(\displaystyle{\frac{{{1}}}{{{4}}}}{\tan{{\left({\frac{{\pi}}{{{8}}}}\right)}}}+{\frac{{{1}}}{{{8}}}}{\tan{{\left({\frac{{\pi}}{{{16}}}}\right)}}}+{\frac{{{1}}}{{{16}}}}{\tan{{\left({\frac{{\pi}}{{{32}}}}\right)}}}+\cdots\cdots\infty\) Try: \(\displaystyle{\cos{{x}}}\cdot{\cos{{\left(\frac{{x}}{{2}}\right)}}}\cdot{\cos{{\left(\frac{{x}}{{2}^{{2}}}\right)}}}\cdots\cdots{\cos{{\left(\frac{{x}}{{2}^{{{n}-{1}}}}\right)}}}={\frac{{{1}}}{{{2}^{{{n}-{1}}}}}}{\frac{{{\cos{{\left({x}\right)}}}}}{{{\sin{{\left(\frac{{x}}{{2}^{{{n}-{1}}}}\right)}}}}}}\) Could some help me how to

Describe all solutions of Ax=0 in parametric vector form, where A is row equivalent to the given matrix
$$\left[\begin{array}{cccc}1& 3& 0& -4\\ 2& 6& 0& -8\end{array}\right]$$

Find, correct to the nearest degree, the three angles of the triangle with the given vertices
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Whether f is a function from Z to R if 
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b) ${\displaystyle f\left(n\right)=\sqrt{n^2+1}}$. 
c) ${\displaystyle f\left(n\right)=\frac{1}{n^2-4}}$.

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Find $\tan \left(22.5^{\circ }\right)$ using the half-angle formula.

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The solution set of $\tan <!--\; \; -->\mathrm{\theta <!--\; \theta \; -->}=3\cot <!--\; \; -->\mathrm{\theta <!--\; \theta \; -->}$ is

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Find the probability of getting 5 Mondays in the month of february in a leap year.

How to find the inflection points for the given function ${\displaystyle f\left(x\right)=x^3-3x^2+6x}$?

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