# rewrite trigonometric expression

• May 19th 2008, 09:40 PM
Jasleen2008
rewrite trigonometric expression
1/csc+1

turn this problem into non fraction form.

thx!
• May 19th 2008, 09:47 PM
singleton2787
..
almost positive that would turn into $sin+1$

because $csc(x)=\frac{1}{sin(x)}$
and the inverse of that would be $\frac{1}{csc(x)}=sin(x)$
• May 19th 2008, 10:26 PM
Jasleen2008
ok thank u!
• May 20th 2008, 03:25 AM
Soroban
Hello, Jasleen2008!

Quote:

Write in non-fraction form: . $\frac{1}{\csc x + 1}$
Multiply top and bottom by $(\csc x - 1)$:

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