What does 'arc' mean in trigonometry when it comes after sin or cosine functions (like sin (x+arcsin))? What about tan (x+arctan)? - Quora
![Find the Taylor series expansion of $\csc x$ in ascending powers of $(x -\frac{\pi}{4})$ up to and including the term in $(x-\frac{\pi}{4})^3$ - Mathematics Stack Exchange Find the Taylor series expansion of $\csc x$ in ascending powers of $(x -\frac{\pi}{4})$ up to and including the term in $(x-\frac{\pi}{4})^3$ - Mathematics Stack Exchange](https://i.stack.imgur.com/TbHFD.png)
Find the Taylor series expansion of $\csc x$ in ascending powers of $(x -\frac{\pi}{4})$ up to and including the term in $(x-\frac{\pi}{4})^3$ - Mathematics Stack Exchange
SOLVED:Use the Remainder Estimation Theorem and the method of Example 1 to prove that the Taylor series for sinx about x=π/ 4 converges to sinx for all x .
![SOLVED:About how many terms of the Taylor series for tan^-1 x would you have to use to evaluate each term on the righthand side of the equation π=48 tan^-1 (1)/(18)+32 tan^-1 (1)/(57)-20 SOLVED:About how many terms of the Taylor series for tan^-1 x would you have to use to evaluate each term on the righthand side of the equation π=48 tan^-1 (1)/(18)+32 tan^-1 (1)/(57)-20](https://cdn.numerade.com/previews/f72b9416-80eb-4dcc-b2f9-1bfd1e691460_large.jpg)