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The minimum value of cos^2 theta+ sec^2 ...

The minimum value of `cos^2 theta+ sec^2 theta` is

Text Solution

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We know, arithmatic mean of two terms is always greater than or equal to their geometric mean.
`:. 1/2(cos^2theta+sec^2theta) ge (cos^2thetasec^2theta)^(1/2)`
`=> (cos^2theta+sec^2theta) ge 2(cos^2theta*1/cos^2theta)^(1/2)`
`=> (cos^2theta+sec^2theta) ge 2`
So, minimum value of `cos^2theta+sec^2theta` is `2`.
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