Pertanyaan

tan α sec α − cos α = ....

$\frac{sec α - cos α}{tan α} = ....$

sin α
cos α
tan α
sec α
cosec α

S. Nur

Master Teacher

Jawaban terverifikasi

Jawaban

$fraction numerator sec space alpha minus cos space alpha over denominator tan space alpha end fraction equals sin space alpha$

Pembahasan

Gunakan rumus identitas trigonometri berikut : Atau Sehingga diperoleh, Jadi,

Gunakan rumus identitas trigonometri berikut :

Atau

Sehingga diperoleh,

$fraction numerator sec space alpha minus cos space alpha over denominator tan space alpha end fraction equals fraction numerator fraction numerator 1 over denominator cos space alpha end fraction minus cos space alpha over denominator fraction numerator sin space alpha over denominator cos space alpha end fraction end fraction equals fraction numerator 1 minus cos squared space alpha over denominator cos space alpha end fraction cross times fraction numerator cos space alpha over denominator sin space alpha end fraction equals fraction numerator sin squared space alpha over denominator cos space alpha end fraction cross times fraction numerator cos space alpha over denominator sin space alpha end fraction equals sin space alpha$

Jadi, $fraction numerator sec space alpha minus cos space alpha over denominator tan space alpha end fraction equals sin space alpha$