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  • Find the minimum value of <img alt="16\sec ^2\Theta +9\csc^2\Theta +2" src="https://entrancecorner.oncodecogs.com/gif.latex?16%5Csec%20%5E2%5CTheta%20&plus;9%5Ccsc%5E2%5CTheta%20&plus;

Find the minimum value of 16\sec ^2\Theta +9\csc^2\Theta +2

Option: 1

50


Option: 2

51


Option: 3

-51


Option: 4

-50


Answers (1)

best_answer

Minimum value of a\sec ^2\Theta +b\csc^2\Theta =\left ( \sqrt{a}+\sqrt{b} \right )^2
Minimum value of 16\sec ^2\Theta +9\csc^2\Theta =\left ( \sqrt{16}+\sqrt{9} \right )^2=49
Now, the minimum value of  16\sec ^2\Theta +9\csc^2\Theta +2 
=49+2=51.

Posted by

SANGALDEEP SINGH

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