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ℌ℮¥
multiply and divide by 2
1/2 * 2 cos 2x cos ( x/2) - 2 cos 3x cos ( 9x/2 )
using the formula ,
2 cos x cos y = cos(x+y) + cos(x-y) , we get ,
=1/2 * cos ( 2x + x/2 ) - cos ( 2x - x/2 ) + cos ( 3x + 9x / 2 ) - cos ( 3x - 9x/2 )
= 1/2 * cos 5x/2 - cos 3x/2 - cos 15x/2 + cos 3x/2
= 1/2 * cos 5x/2 - cos 15x/2
= 1/2 * -(- 2 sin 5x sin 5x/2 )
= sin 5x sin 5x/2
ℌ◎℘℮ ї† ℌ℮ℓ℘﹩
multiply and divide by 2
1/2 * 2 cos 2x cos ( x/2) - 2 cos 3x cos ( 9x/2 )
using the formula ,
2 cos x cos y = cos(x+y) + cos(x-y) , we get ,
=1/2 * cos ( 2x + x/2 ) - cos ( 2x - x/2 ) + cos ( 3x + 9x / 2 ) - cos ( 3x - 9x/2 )
= 1/2 * cos 5x/2 - cos 3x/2 - cos 15x/2 + cos 3x/2
= 1/2 * cos 5x/2 - cos 15x/2
= 1/2 * -(- 2 sin 5x sin 5x/2 )
= sin 5x sin 5x/2
ℌ◎℘℮ ї† ℌ℮ℓ℘﹩
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hello pd hogya please see hear
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