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Grade 11Trigonometry

Sin^2thetab+sin^2 two theta + sin^2 three theta.........+sin^2n theta...
Find value

Profile image of Tanisha
6 Years agoGrade 11
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1 Answer

Profile image of Arun
ApprovedApproved Tutor Answer6 Years ago
Dear student
as we know sin^2 x =(1 – cos 2x) /2
hence queetion becomes now
(1 – cos 2x) /2 + (1 – cos 4x) /2 + (1 – cos 6x) /2 + ….........+ (1 – cos 2nx) /2
 = n/2 – 1/2[ cos 2x + cos 4x+ cos 6x + …..... + cos 2nx]
now use summation of cosine series