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# (m+n)2/3+(m-n)2/3=2a2/3if acos3​+3acos.sin2=mand asin3+3acos2.sin=n

Y RAJYALAKSHMI
45 Points
6 years ago
m + n = acos3x + 3a cosx sin2x + asin3x + 3a cos2xsinx = a(sinx + cosx)3
(m + n)2/3 = a2/3 (sinx + cosx)2
m – n = acos3x + 3a cosx sin2x –  asin3x –  3a cos2xsinx = a(cosx + sinx)3

(m –  n)2/3 = a2/3 (cosx –  sinx)2
(m + n)2/3 + (m –  n)2/3 = a2/3 (sinx + cosx)2 + a2/3 (cosx –  sinx)=
a2/3[(sinx + cosx)(cosx –  sinx)2] = 2a2/3

gautam
13 Points
3 years ago

m + n = acos3x + 3a cosx sin2x + asin3x + 3a cos2xsinx = a(sinx + cosx)3
(m + n)2/3 = a2/3 (sinx + cosx)2
m – n = acos3x + 3a cosx sin2x –  asin3x –  3a cos2xsinx = a(cosx + sinx)3

(m –  n)2/3 = a2/3 (cosx –  sinx)2
(m + n)2/3 + (m –  n)2/3 = a2/3 (sinx + cosx)2 + a2/3 (cosx –  sinx)=
a2/3[(sinx + cosx)(cosx –  sinx)2] = 2a2/3