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avatar+36 

simplify sin (π+x) - sin (π-x)

a. -2cos x

b. -2 sin x

c. 2 cos x

d. 2 sin x

 Apr 13, 2017
 #1
avatar+130466 
+2

sin (pi + x)   -  sin (pi - x)

 

[ sin pi *  cos x  + sin x * cos pi ]  - [ sin pi * cos x  -  sin x  * cos pi ]  =

 

2sin x * cos pi   =

 

2sinx * -1

 

-2sin x

 

 

cool cool cool

 Apr 13, 2017
 #2
avatar+26396 
+2

simplify sin (π+x) - sin (π-x)

 

Because sin(π+x)=sin(πx)

 

sin(π+x)sin(πx)=sin(πx)sin(πx)=2sin(πx)|sin(πx)=sin(x)=2sin(x)

 

laugh

 Apr 13, 2017
edited by heureka  Apr 13, 2017

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