Pertanyaan

sin 4 7 π = ... .

$sin \frac{7 π}{4} = ... .$

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Klaim

S. Nur

Master Teacher

Jawaban terverifikasi

Jawaban

.

$sin space fraction numerator 7 straight pi over denominator 4 end fraction equals negative 1 half square root of 2$ .

Pembahasan

Dengan demikian, .

$table attributes columnalign right center left columnspacing 0px end attributes row cell sin space fraction numerator 7 straight pi over denominator 4 end fraction end cell equals cell sin space open parentheses fraction numerator 8 straight pi minus straight pi over denominator 4 end fraction close parentheses end cell row blank equals cell sin space open parentheses fraction numerator 8 straight pi over denominator 4 end fraction minus straight pi over 4 close parentheses end cell row blank equals cell negative sin space straight pi over 4 end cell row blank equals cell negative sin space up diagonal strike 180 degree end strike to the power of 45 degree end exponent over up diagonal strike 4 subscript 1 end cell row blank equals cell negative sin space 45 degree end cell row blank equals cell negative 1 half square root of 2 end cell end table$

Dengan demikian, $sin space fraction numerator 7 straight pi over denominator 4 end fraction equals negative 1 half square root of 2$ .