x=tanA+sina y=tana-sina prove x2-y2=∫4xy
x=tanA+sina y=tana-sina prove x2-y2=∫4xy
madhuri , 11 Years ago
Grade
Trigonometry> x=tanA+sina y=tana-sina prove x 2- y 2= ∫...
1 AnswersY RAJYALAKSHMI
LHS:
x2 – y2 = (tanA + sinA)2 – (tanA – sinA)2 = 4tanA sinA
RHS:
4*sqrt(xy) = 4*sqrt(tanA + sinA)(tanA – sinA)
= 4* sqrt(tan2A – sin2A) = 4* sqrt(sin2A/cos2A – sin2A)
= 4* sqrt(sin2A (1 – cos2A)/ cos2A)
= 4* sqrt(sin2A *sin2A / cos2A)
= 4* sqrt (tan2A sin2A)
= 4tanAsinA
Hence, LHS = RHS
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