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Grade 12th passTrigonometry

Please solve it as I am not able to solve it. Can there be a deductive method to solve this. Thanks once again.

Question image for Please solve it as I am not able to solve it. Can
Profile image of Sanjiv
8 Years agoGrade 12th pass
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1 Answer

Profile image of praneethvikram
ApprovedApproved Tutor Answer8 Years ago
sina+sin^2a = 1
 
=> sina=cos^2a
now squaring on both sides
cos^4a = sin^2a
cos^4a=1-cos^2a
=> cos^4a + cos^2a = 1
now cubing on both sides
cos^12a + 3 cos^10a + 3 cos^8a + cos^6a = 1
now comparing with given equation
a = 1  b=3 c=3 d=1
=> required answer = 3 + 3 +1 = 7

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