Find the minimum value of (asec2 θ + bcosec2 θ).
1). (a + b)
2). (a + b) + 2√ab
3). 2√ab
4). 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√ab1. What is the area (in sq cm) of a rectangle if its diagonal is 26 cm and one of its sides is 10 cm?
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