$f (x) = {s i n}^{2} (x^{3}) + {c o s}^{2} (x^{3})$

Open in App

Solution

We have,

$f (x) = {sin}^{2} (x^{3}) + {cos}^{2} (x^{3})$

We know that,

${sin}^{2} x + {cos}^{2} x = 1$

Now,

$f (x) = {sin}^{2} (x^{3}) + {cos}^{2} (x^{3})$

$f (x) = 1$

Hence, this is the answer.

Suggest Corrections

Similar questions

f (x) = ⎧ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎩ \begin{matrix} \frac{(1 - cos 2 x) (3 + cos x)}{x tan a x} & x < 0; \frac{x (e^{x} - 1)}{1 - cos x} & x > 0; \end{matrix}

a

lim x \to 0 f (x)

{cos}^{2} x^{3}

- 3 x^{2} . (sin 2 x^{3}) {cos [{cos}^{2} (x^{3})]}

lim x \to 0 \frac{1 - cos 2 x^{3}}{x^{2} . {tan}^{2} 3 x {sin}^{2} 4 x} =

lim x \to 0 \frac{(1 - cos 2 x) (3 + cos x)}{x tan 4 x}

Join BYJU'S Learning Program