Plzzz prove this que Cosh 3x=4cosh^3x-3cosh x
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cosh 3x= co sh(2x+x)
= cosh2x coshx - sinh2xsinhx
= (2 cosh^2 x-1) coshx - ( 2 sinhx cos hx) sinhx
= 2 cosh^3 x- coshx - 2 sinh^2 x co sh
= 2 cosh^3x - coshx - 2( 1 - cosh^2 x) coshx
= 2 cos h^3x - coshx - 2 coshx+ 2 cosh^3x
= 4 cosh^3x- 3 coshx
= cosh2x coshx - sinh2xsinhx
= (2 cosh^2 x-1) coshx - ( 2 sinhx cos hx) sinhx
= 2 cosh^3 x- coshx - 2 sinh^2 x co sh
= 2 cosh^3x - coshx - 2( 1 - cosh^2 x) coshx
= 2 cos h^3x - coshx - 2 coshx+ 2 cosh^3x
= 4 cosh^3x- 3 coshx
nehasharm1311:
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