Pertanyaan

Sederhanakan bentuk persamaan 1 + cos x sin x + 1 − cos x sin x !

Sederhanakan bentuk persamaan $\frac{sin x}{1 + cos x} + \frac{sin x}{1 - cos x}$ !

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

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