An easy one!! by Sriram dingari

Calculus Level pending

What is the minimum value of 6 + 9 cot ⁡ θ + tan ⁡ θ 6+9\cot { \theta } +\tan { \theta} assuming tan ⁡ θ \tan { \theta} is positive

10 13 11 12

Sriram Dingari by Sriram dingari , 22, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Sriram Dingari
Jan 3, 2015

Using AM,GM inequality, minimum value of 9 cot ⁡ θ + tan ⁡ θ 9\cot { \theta } +\tan { \theta } is 6.

6+6=12

A M ≥ G M AM\ge GM So, ( 9 cot ⁡ θ + tan ⁡ θ ) 2 ≥ ( 9 cot ⁡ θ tan ⁡ θ ) \frac { (9\cot { \theta } +\tan { \theta } ) }{ 2 } \ge \sqrt { (9\cot { \theta } \tan { \theta } ) }

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...