Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  CBSE XI  >>  Math  >>  Trigonometric Functions
0 votes

True-or-False :If $cosec x=1+\cot x$ then $x=2n\pi,2n\pi+\large\frac{\pi}{2}$

$\begin{array}{1 1}(A)\;\text{True}\\(B)\;\text{False}\end{array} $

Can you answer this question?

1 Answer

0 votes
$cosec x=1+\cot x$
Squaring both sides
$cosec^2 x=(1+\cot x)^2$
$1+\cot ^2x=1+\cot^2x+2\cot x$
$2\cot x=0$
$\cot x=0$
$\therefore x=(2n+1)\large\frac{\pi}{2}$
Hence the given statement is true.
answered May 20, 2014 by sreemathi.v

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App