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  • The minimum value of <img alt="25\cos^{2}\phi +36\sec^{2}\phi" src="https://entrancecorner.oncodecogs.com/gif.latex?25%5Ccos%5E%7B2%7D%5Cphi%20&plus;36%5Csec%5E%7B2%7D%5Cphi"

The minimum value of 25\cos^{2}\phi +36\sec^{2}\phi   is

Option: 1

30


Option: 2

60


Option: 3

40


Option: 4

50


Answers (1)

best_answer

Answer: Option (b)  60

Explanation: 

Given that,

25\cos^{2}\phi +36\sec^{2}\phi

The formula to find the minimum value,

a\sin^{2}x+b\cos^{2}x=2\sqrt{ab}

Therefore,

  25\cos^{2}\phi +36\sec^{2}\phi =2\sqrt{25\times 36}25\cos^{2}\phi +36\sec^{2}\phi =60

Posted by

Rishi

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