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Find the minimum value of (asec2 θ + bcosec2 θ).

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Find the minimum value of (asec2 θ + bcosec2 θ).
1). (a + b)
2). (a + b) + 2√ab
3). 2√ab
4). 1


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Answered by on | Votes 1 |

The given function can be written as?

a(1 + tan2 θ) + b(1 + cot2 θ)

= a + b + atan2 θ + bcot2 θ

= (a + b) + (atan2 θ + bcot2 θ)

Now, formula for finding min value of (atan2 θ + bcot2 θ) = 2√ab

∴ Minimum value of the given expression = (a + b) + 2√ab

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