Pertanyaan

Buktikan bahwa sin A tan A = sec A

Buktikan bahwa $\frac{tan A}{sin A} = sec A$

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Habis dalam

Klaim

L. Rante

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

terbukti bahwa .

terbukti bahwa $fraction numerator tan space straight A over denominator sin space straight A end fraction equals sec space straight A$ .

Pembahasan

Ingat dan Sehingga Dengan demikian, terbukti bahwa .

Ingat $tan space straight A equals fraction numerator sin space straight A over denominator cos space straight A end fraction$ dan $sec space straight A equals fraction numerator 1 over denominator cos space straight A end fraction$

Sehingga

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator tan space straight A over denominator sin space straight A end fraction end cell equals cell fraction numerator begin display style fraction numerator sin space straight A over denominator cos space straight A end fraction end style over denominator sin space straight A end fraction end cell row blank equals cell fraction numerator sin space straight A over denominator cos space straight A cross times sin space straight A end fraction end cell row blank equals cell fraction numerator 1 over denominator cos space straight A end fraction end cell row blank equals cell sec space straight A end cell end table$

Dengan demikian, terbukti bahwa $fraction numerator tan space straight A over denominator sin space straight A end fraction equals sec space straight A$ .