Question : If $\theta$ is an acute angle and $\sin \theta+\operatorname{cosec} \theta=2$, then the value of $\sin ^5 \theta+\operatorname{cosec}^5 \theta$ is:
Option 1: 10
Option 2: 2
Option 3: 4
Option 4: 5
Correct Answer: 2
Solution :
Given,
$\sin \theta+\operatorname{cosec} \theta=2$
This is possible only when both $\sin \theta=\operatorname{cosec} \theta=1$
So, $\sin ^5 \theta+\operatorname{cosec}^5 \theta=1^5+1^5$
⇒ $\sin \theta+\operatorname{cosec} \theta=1+1$
⇒ $\sin \theta+\operatorname{cosec} \theta=2$
Hence, the correct answer is 2.
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 “”.
Upcoming Exams
Trending Articles around SSC CPO
