trigonometry-

Question Number 146404 by iloveisrael last updated on 13/Jul/21

trigonometry

Commented by iloveisrael last updated on 13/Jul/21

Answered by gsk2684 last updated on 13/Jul/21

f (x) = \frac{1 - \cos^{2} x + \cos^{4} x}{1 - \sin^{2} x + \sin^{4} x}

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

= \frac{1 - \cos^{2} x \sin^{2} x}{1 - \sin^{2} x \cos^{2} x} = 1

f (x) = 1 \forall x

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