First slide

Algebra of real valued functions

Question

If $f (x) = \frac{\cos^{2} x + \sin^{4} x}{\sin^{2} x + \cos^{4} x}$ for $x \in R$ then $f (2018)$ =______

Easy

A

0
B

1
C

5
D

4

Solution

$f (x) = \frac{\cos^{2} x + \sin^{2} x (1 - \cos^{2} x)}{\sin^{2} x + \cos^{2} x (1 - \sin^{2} x)} = 1$

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