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which of the following is equivalent to the expression sin 2x cos x-sin x cos2x 

 

a. sinx

b. sin 3x

c. cos x

d. cos 3x

 Nov 19, 2020

Best Answer 

 #1
avatar+15058 
+2

which of the following is equivalent to the expression sin 2x cos x-sin x cos2x 

a. sinx

b. sin 3x

c. cos x

d. cos 3x

 

Hello Debnath!

 

sin2x cosxsinx cos2x=2 sinx cosx cosxsinx (cos2xsin2x)=2sinx cos2xsinx cos2x+sin3x=sinx cos2x+sin3x=sinx(cos2x+sin2x)=sinx 1

 

sin2x cosxsinx cos2x=sinx

laugh  !

 Nov 19, 2020
 #1
avatar+15058 
+2
Best Answer

which of the following is equivalent to the expression sin 2x cos x-sin x cos2x 

a. sinx

b. sin 3x

c. cos x

d. cos 3x

 

Hello Debnath!

 

sin2x cosxsinx cos2x=2 sinx cosx cosxsinx (cos2xsin2x)=2sinx cos2xsinx cos2x+sin3x=sinx cos2x+sin3x=sinx(cos2x+sin2x)=sinx 1

 

sin2x cosxsinx cos2x=sinx

laugh  !

asinus Nov 19, 2020
 #2
avatar+38 
+1

thank you 

Debnath  Nov 19, 2020

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