First slide

Extreme values and Periodicity of Trigonometric functions

Question

The expression $\tan^{2} α + \cot^{2} α$ , is

Moderate

A

$\geq 2$
B

$\geq 2$
C

$\geq - 2$
D

none of these

Solution

The sum of a positive real number and its reciprocal is always greater than or equal to 2.
$∴ \tan^{2} α + \cot^{2} α \geq 2$ .

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