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Trigonometry

find the maximum value of 9sinA-i2sin^2A.

Profile image of saurya jaiswal
14 Years agoGrade
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1 Answer

Profile image of umesh  panjwani
13 Years ago

9sinA-i2sin^2A=y

deffrentiate and then equate dy/dA=0

9cosA-i4sinAcosA=0

9cosA=isinAcosA

if A not equal to 90 degrees

9=isinA

sinA=9/i implies no solution

therefore, only 1 solution in case A is equal to 90 degrees

so, max value is 9-i