Assertion ( A ) : The function f (x ) = cos x is symmetric about the line x = 0
Reason ( R ) : Every even function is symmetric about y – axis

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A is false but R is true

Both A and R are true and R is the correct explanation of A

Both A and R are true but R is not correct explanation of A

A is true but R is false

answer is A.

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Detailed Solution

Assertion ( A ) :

$\begin{array}{l} f (x) = \cos x \\ f (- x) = \cos (- x) = \cos x = f (x) \\ ∴ f (x) i s s y m m e t r i c a b o u t x = 0 \\ T r u e . \\ Re a s o n (R) : T r u e . \end{array}$

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