Sederhanakan bentuk persamaan 1+cosxsinx+1−cosxsinx!

Pertanyaan

Sederhanakan bentuk persamaan $begin mathsize 14px style fraction numerator sin x over denominator 1 plus cos x end fraction plus fraction numerator sin x over denominator 1 minus cos x end fraction end style$ !

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin x over denominator 1 plus cos x end fraction plus fraction numerator sin x over denominator 1 minus cos x end fraction end cell equals cell fraction numerator sin x open parentheses 1 minus cos x close parentheses plus sin x left parenthesis 1 plus cos x right parenthesis over denominator left parenthesis 1 plus cos x right parenthesis left parenthesis 1 minus cos x right parenthesis end fraction end cell row blank equals cell fraction numerator sin x open parentheses open parentheses 1 minus cos x close parentheses plus open parentheses 1 plus cos x close parentheses close parentheses over denominator 1 minus cos squared x end fraction end cell row blank equals cell fraction numerator 2 sin x over denominator sin squared x end fraction end cell row blank equals cell fraction numerator 2 over denominator sin x end fraction end cell row blank equals cell 2 csc x end cell end table end style$

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