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Grade 12th passTrigonometry

whai is value of sin13 +sin15+sin17......
angles are in degrees

Profile image of ayush
11 Years agoGrade 12th pass
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1 Answer

Profile image of Nishant Vora
11 Years ago
Hello Student, Please find the solution

lets take n terms and than apply n->infinite

sin13 +sin15+sin17......+ sin[13+(n-1)2] + ….…
Apply summation of sine series formula if the angles are in A.P.


sin13 +sin15+sin17......+ sin[13+(n-1)2]
=\frac{sin\frac{n*2}{2}}{sin*\frac{2}{2}}*sin[2*(13+(n-1)2)]
=\frac{sin(n)}{sin1}sin[22+4n]

Now you can apply n->infinity to this question

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