$f (x) = {tan}^{2} x . {sin}^{2} x$ and $g (x) = {tan}^{2} x - {sin}^{2} x$ are equal functions.

False

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True

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Solution

The correct option is B True

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Similar questions

f (x) = \sin x, g (x) = \sin (x + \frac{π}{4})

f (x) = \sin \frac{x}{2}, g (x) = \sin x

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

g (x) = {sec}^{2} x - {tan}^{2} x .

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$f (x)$ and $g (x)$ are identical

How many of the following pairs of function are identcal

(a) $f (x) = \frac{x^{2}}{x}, g (x) = x$

(b) $f (x) = \frac{x^{2} - 1}{x - 1}, g (x) = x + 1$

(d) $f (x) = \frac{x}{x^{2}}, g (x) = \frac{1}{x}$

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