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If f(x) = ^{2}x + ^{2} x then

Question

If $f (x) = cos^{2} x + sec^{2} x$ then

f (x) < 1

f (x) = 1

1 > f (x) < 2

f (x) ⩾ 2

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Samuel Discussed

f (x) = cos^{2} x + sec^{2} x

then

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13 mins ago

Text solutionVerified

A M = \frac{cos ^{2} x + sec ^{2} x}{2}

GM = cos^{2} \cdot sec^{2} x = 1

A M ⩾ GM

\frac{cos ^{2} x + sec ^{2} x}{2} ⩾ 1

cos^{2} x + sec^{2} x ⩾ 2

f (x) ⩾ 2

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