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JEE Previous Year Question

$If cos x = | sin x |, then the general solution is$

Topic: JEE PYQ

Answer: C. Full step-by-step solution below.

A $x = nπ \pm \frac{π}{4}, n \in Z$
B $x = nπ + (- 1)^{n} \frac{π}{4}, n \in Z$
C $x = 2 nπ \pm \frac{π}{4}, n \in Z$
D $x = (2 n + 1) π \pm \frac{π}{4}, n \in Z$

Correct answer: C

Solution

(a): Here, cos x = | sin x | \Rightarrow sin x = \pm cos x \Rightarrow tan x = \pm 1 = \pm tan \frac{π}{4} \Rightarrow x = nπ \pm (\frac{π}{4}), n \in Z

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