sin-2-x-cos-2-x-

Question Number 190993 by mathlove last updated on 16/Apr/23

{s i n}^{2} x \cdot {c o s}^{2} x = ?

Answered by cortano12 last updated on 16/Apr/23

= \frac{1}{4} \sin^{2} 2 x

Answered by mustafazaheen last updated on 16/Apr/23

= [\frac{2}{2} \sin (x) \cdot \cos (x)] [\frac{2}{2} \sin (x) \cdot \cos (x)]

= \frac{\sin (2 x)}{2} \times \frac{\sin (2 x)}{2}

= \frac{1}{4} \sin^{2} (2 x)

Answered by manxsol last updated on 16/Apr/23

y = {s i n}^{2} x \cdot {c o s}^{2} x

4 y = 4 {s i n}^{2} x \cdot {c o s}^{2} x

4 y = {(2 s i n x c o s x)}^{2}

4 y = {(s i n 2 x)}^{2}

y = \frac{{(s i n 2 x)}^{2}}{4}

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