find-L-cos-2-x-and-L-sin-2-x-L-is-laplace-transform-

Question Number 30476 by abdo imad last updated on 22/Feb/18

f i n d L ({c o s}^{2} x) a n d L ({s i n}^{2} x) L i s l a p l a c e t r a n s f o r m .

Answered by sma3l2996 last updated on 24/Feb/18

L ({c o s}^{2} x) = L (\frac{c o s (2 x) + 1}{2}) = \frac{1}{2} (L (c o s (2 x)) + L (1))

= \frac{1}{2} (\frac{s}{s^{2} + 2^{2}} + \frac{1}{s})

s a m e t h i n g f o r L ({s i n}^{2} (x)) = \frac{1}{2} (\frac{1}{s} - \frac{2}{s^{2} + 2^{2}})

Commented by sma3l2996 last updated on 24/Feb/18

L ({s i n}^{2} (x)) = \frac{1}{2} (\frac{1}{s} - \frac{s}{s^{2} + 2^{2}})