Question

prove the following:
$\\ \sin(x) = x - \frac{ {x}^{3} }{3!} + \frac{ {x}^{5} }{5!} - ......$
and

$\\ \cos(x) = 1 - \frac{ {x}^{2} }{2!} + \frac{ {x}^{4} }{4!} - ......$
with proper steps and reasoning behind.

thanks for answering ☺️☺️.

Try to write math by using the brainly math tool as shown by the "√x" sign.

Answer 1

Similarly cosx could also be Proved

Answer 2

Step-by-step explanation:

Step-by-step explanation:

p(y)=4+3y-y²+5y³

    =5y³-y²+3y+4

p(0)=5y³-y²+3y+4

    =5*(0)³-(0)²+3*0+4

    =5*0-0*3+0+4

    =0-0+0+4

    =4

p(1)=5y³-y²+3y+4

   =5*(1)³-(1)²+3*1+4

   =5*1-1+3+4

   =5-1+7

   =4+7

   =11

p(2)=5y³-y²+3y+4

    =5*(2)³-(2)²+3*2+4

    =5*8-4+6+4

    =40-4+10

    =36+10

    =46

so, p(0)=4 , p(1)=11 , p(2)=46