Question : If the value of $\operatorname{cosec} A + \cot A = m$, then the value of $\operatorname{cosec} A - \cot A$ is:
Option 1: $\frac{1}m$
Option 2: $m$
Option 3: $\sqrt{m}$
Option 4: $m^2$
Correct Answer: $\frac{1}m$
Solution :
Given: $\operatorname{cosec} A + \cot A = m$
We Know that, $\operatorname{cosec}^2 A - \cot^2 A = 1$
$⇒(\operatorname{cosec} A - \cot A)(\operatorname{cosec}A + \cot A) = 1$
Substituting $m$ for $\operatorname{cosec} A + \cot A$, we get:
$\therefore\operatorname{cosec} A - \cot A = \frac{1}{m}$
Hence, the correct answer is $\frac{1}{m}$.
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
