Finding sum of \(\displaystyle\sum^{{{17}}}_{\left\lbrace{x}={1}\right\rbrace}{\frac{{{1}}}{{{1}+{{\cot}^{{{4}}}{\left({10}^{{\circ}}{x}\right)}}}}}\)

George Michael

George Michael

Answered question

2022-04-06

Finding sum of {x=1}1711+cot4(10x)

Answer & Explanation

embemiaEffoset4rs

embemiaEffoset4rs

Beginner2022-04-07Added 14 answers

Hint
{x=1}1711+cot4(10x)={x=1}17sin4(10x)sin4(10x)+cos4(10x)
Hint 2
{x=1}8sin4(10x)sin4(10x)+cos4(10x)={x=1}8cos4(9010x)cos4(9010x)+sin4(9010x)
Hint 3
What is
{x=1}8sin4(10x)sin4(10x)+cos4(10x)+{x=1}8cos4(10x)sin4(10x)+cos4(10x)
Hint 4: Use the same trick for
{x=10}17sin4(10x)sin4(10x)+cos4(10x)

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