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solve for x sin4x+sin2x-sin6x=0

solve for x
sin4x+sin2x-sin6x=0

Grade:11

3 Answers

jitender lakhanpal
62 Points
9 years ago

980_36248_equation.JPG

Prajwal kr
49 Points
9 years ago

2cos3xsinx + 2sinxcox=0

=>sinx=0

=>x= npi...................... n is 1,2,3............

Also,

2cos3x + cosx=0

8cos3x-5cosx=0

cosx=0

=> x is (2k+1)pi/2......................................................................................

Also,

8cos2x-5=0

cosx=+-(5/8)1/2.................................................

All the above are solutions for the given equation

jitender lakhanpal
62 Points
9 years ago

hi prajwal

you made a slight mistake 

               

sin4x+sin2x-sin6x   is not equal to    2cos3xsinx + 2sinxcox

you have paired sin 4x  and sin 2x then applied the identity you got 

2 cos 3x sinx  then what you get is 2 cos 3x sinx - sin6x 

so this is where you got wrong

                              

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