Sin^2thetab+sin^2 two theta + sin^2 three theta.........+sin^2n theta... Find value
Sin^2thetab+sin^2 two theta + sin^2 three theta.........+sin^2n theta...
Find value
Tanisha , 6 Years ago
Grade 11
Trigonometry> Sin^2thetab+sin^2 two theta + sin^2 three...
1 Answers
Arun
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
Approved Last Activity: 6 Years ago
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