Question : If $\tan\theta +\cot\theta =2$, then the value of $\left (\tan^{n}\theta+\cot^{n}\theta \right)$ is:
Option 1: $2^{n}$
Option 2: $2^{\frac{n}{2}}$
Option 3: $2^{\frac{1}{2}}$
Option 4: $2$
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: $2$
Solution :
Given: $\tan\theta +\cot\theta =2$
Putting $\theta = 45^\circ$,
LHS $=\tan 45^\circ + \cot 45^\circ = 1 + 1 =2=$ RHS (satisfies)
So, $\tan^{n}\theta+\cot^{n}\theta$
$=\tan^{n}45^\circ+\cot^{n}45^\circ$
$= 1 + 1$
$= 2$
Hence, the correct answer is $2$.
Related Questions
Question : The value of
Question : The value of
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
