CBSE BOARD XII, asked by jmtindian, 6 months ago

plz plz plz help me
proove kerna hai ​

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Answered by polagokul
1

Step-by-step explanation:

=4cosx*cos(60-x)*cos(60+x)

=4cosx*(cos60*cosx+sin60*sinx)* (cos60*cosx-sin60*sinx)

= 4cosx*(cosx/2 + 3½sinx/2)*(cosx/2 - 3½sinx/2)

= 4cosx*(cos²x/4 - 3sin²x/4)

= 4cosx*(cos²x - 3sin²x)/4

= cosx (cos²x - 3sin²x)

= cosx (cos²x - 3(1-cos²x))

= cosx (cos²x - 3 + 3cos²x)  

= cosx (4cos²x - 3)

= 4cos³x - 3cosx

( cos3x = 4cos³x - 3cosx)

= cos3x (hence proved)

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