Pertanyaan

Sederhanakan bentuk persamaan ( csc θ – cot θ ) × ( 1 + cos θ ) !

Sederhanakan bentuk persamaan $(csc θ - cot θ) \times (1 + cos θ)$ !

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F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

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

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