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Please solve the question in the attachment.... ....... ..... ...........

Please solve the question in the attachment.... ....... ..... ........... 

Question Image
Grade:12th pass

1 Answers

Himanshu
14 Points
2 years ago
 
Using the idendity 
\sin(15x/2)=(3sin(5x/2)-4sin^{3}(5x/2))---eq1
\cos8x-\cos7x/1+2cox5x=-2sin(15x/2)(sinx/2)/1+2(1-2sin^{2}x)
now using eq1 in the above equation=-2\sin(5x/2)(3-4sin^{2}(5x/2))six(x/2)/(3-4sin^{2}(5x/2))
on solving the expression
=-2\sin(5x/2)sin(x/2)=cos2x-cos3x 
now performing the integral
=\int cos2x-cos3x
by using the formula for integration of cosine function
\sin2x/2-sin3x/3+c is rhe answer
if you like the answer pls do like it
 

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