cos7x + cos5x/ sin7x- sin 5x =cotx

Asked by sanjeevnayan3 | 1st Jun, 2019, 08:58: AM

Expert Answer:

begin mathsize 16px style fraction numerator cos 7 straight x plus cos 5 straight x over denominator sin 7 straight x minus sin 5 straight x end fraction
equals fraction numerator 2 cos open parentheses begin display style fraction numerator 12 straight x over denominator 2 end fraction end style close parentheses cos open parentheses begin display style fraction numerator 2 straight x over denominator 2 end fraction end style close parentheses over denominator 2 cos open parentheses fraction numerator 12 straight x over denominator 2 end fraction close parentheses sin open parentheses fraction numerator 2 straight x over denominator 2 end fraction close parentheses end fraction
equals fraction numerator cos begin display style straight x end style over denominator sin begin display style straight x end style end fraction
equals cotx end style

Answered by Sneha shidid | 3rd Jun, 2019, 09:13: AM

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