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Grade 12th passTrigonometry

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

Profile image of mridul
11 Years agoGrade 12th pass
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2 Answers

Profile image of Y RAJYALAKSHMI
11 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)2 =
a2/3[(sinx + cosx)2 + (cosx –  sinx)2] = 2a2/3
 
 
Profile image of gautam
8 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)2 =
a2/3[(sinx + cosx)2 + (cosx –  sinx)2] = 2a2/3
 

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