sinx + sin3x/cosx -con3x  = cotx


 


 



 

Asked by sanjeevnayan3 | 23rd Jun, 2019, 12:55: PM

Expert Answer:

fraction numerator sinx space plus sin 3 straight x over denominator cosx space minus space cos 3 straight x end fraction
equals fraction numerator sin begin display style straight x end style begin display style space end style begin display style plus end style begin display style space end style begin display style 3 end style begin display style sinx end style begin display style space end style begin display style minus end style begin display style space end style begin display style 4 end style begin display style begin display style sin end style cubed end style begin display style straight x end style over denominator cosx space plus space 3 cosx space minus space 4 cos cubed straight x end fraction
equals fraction numerator begin display style 4 sinx space minus space 4 sin cubed straight x end style over denominator space 4 cosx space minus space 4 cos cubed straight x end fraction
equals fraction numerator begin display style 4 sinx space open parentheses 1 minus space sin squared straight x close parentheses end style over denominator space 4 cosx open parentheses 1 space minus space cos squared straight x close parentheses end fraction
equals fraction numerator begin display style 4 sinx space open parentheses cos squared straight x close parentheses end style over denominator space 4 cosx open parentheses sin squared straight x close parentheses end fraction
equals fraction numerator begin display style space open parentheses cosx close parentheses end style over denominator space open parentheses sinx close parentheses end fraction
equals cot space straight x

Answered by Arun | 23rd Jun, 2019, 01:50: PM

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