1/csc+1

turn this problem into non fraction form.

thx!

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- May 19th 2008, 08:40 PMJasleen2008rewrite trigonometric expression
1/csc+1

turn this problem into non fraction form.

thx! - May 19th 2008, 08:47 PMsingleton2787..
almost positive that would turn into $\displaystyle sin+1$

because $\displaystyle csc(x)=\frac{1}{sin(x)}$

and the inverse of that would be $\displaystyle \frac{1}{csc(x)}=sin(x)$ - May 19th 2008, 09:26 PMJasleen2008
ok thank u!

- May 20th 2008, 02:25 AMSoroban
Hello, Jasleen2008!

Quote:

Write in non-fraction form: .$\displaystyle \frac{1}{\csc x + 1}$

. . $\displaystyle {\color{blue}\frac{\csc x - 1}{\csc x -1}}\cdot\frac{1}{\csc x + 1} \;\;=\;\;\frac{\csc x - 1}{\csc^2\!x-1} \;\;=\;\;\frac{\csc x - 1}{\cot^2\!x} \;\;=\;\;\tan^2\!x(\csc x - 1)$