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Q.

$x \in R : | \cos (x) | \geq | \sin (x) | i n [0, 2 π] =$

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a

$[0, \frac{π}{4}] \cup [\frac{3 π}{4}, π]$

b

$[\frac{3 π}{4}, π] \cup [\frac{5 π}{2}, 2 π]$

c

$[\frac{π}{4}, \frac{π}{2}] \cup [\frac{3 π}{4}, π]$

d

$[0, \frac{π}{4}] \cup [\frac{3 π}{4}, 2 π]$

answer is A.

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Detailed Solution

From Graph of $| \cos (x) | \geq | \sin (x) | \cap [0, 2 π]$
$[0, \frac{π}{4}] \cup [\frac{3 π}{4}, \frac{5 π}{4}] \cup [\frac{7 π}{4}, 2 π]$

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