化简 (sin(x))^2*(cos(x))^2

解答

化简

(sin (x))^{2} \cdot (cos (x))^{2}

sin^{2} (x) cos^{2} (x)

求解步骤

(sin (x))^{2} (cos (x))^{2}

使用指数法则:

a^{m} b^{m} = (ab)^{m},

假定

a \geq 0, b \geq 0

(sin (x))^{2} (cos (x))^{2} = (sin (x) cos (x))^{2}

= (sin (x) cos (x))^{2}

使用指数法则:

(a \cdot b)^{n} = a^{n} b^{n}

= sin^{2} (x) cos^{2} (x)

s im pl i f y x^{2} \cdot e^{- 2 x}

s im pl i f y (\frac{51.142}{26315.79}) \cdot 1 0^{- 6}

e x p an d \frac{( 1 + a ) 3 1 + a}{3 a}

s im pl i f y \frac{1}{s ^{2} ( s + 2 )} e^{- s}

s im pl i f y (4.3 \cdot 1 0^{- 4}) \cdot (1.8 \cdot 1 0^{- 7})