Pertanyaan

Buktikan 2 c o t 2 x c o t 2 2 x − 1 − cos 8 x . cot 4 x = sin 8 x

Buktikan $\frac{c o t ^{2} 2 x - 1}{2 c o t 2 x} - cos 8 x . cot 4 x = sin 8 x$

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

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Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator cot squared 2 x minus 1 over denominator 2 cot space 2 x end fraction minus cos space 8 x. cot space 4 x end cell equals cell sin space 8 x end cell row cell cot space 4 x minus cos space 8 x. c o t space 4 x end cell equals cell sin space 8 x end cell row cell cot 4 x left parenthesis 1 minus cos space 8 x right parenthesis end cell equals cell sin space 8 x end cell row cell cot space 4 x left parenthesis 2 sin squared 1 half left parenthesis 8 x right parenthesis right parenthesis end cell equals cell sin space 8 x end cell row cell cot space 4 x left parenthesis 2 sin squared 4 x right parenthesis end cell equals cell sin space 8 x end cell row cell fraction numerator cos space 4 x over denominator up diagonal strike sin space 4 x end strike end fraction cross times 2 up diagonal strike sin space 4 x end strike cross times sin space 4 x end cell equals cell sin space 8 x end cell row cell 2 space sin space 4 x space cos space 4 x end cell equals cell sin space 8 x end cell row cell sin space 8 x end cell equals cell sin space 8 x space left parenthesis terbukti right parenthesis end cell row blank blank blank end table$

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