Pertanyaan

3 0 ∘ − 6 7 π rad + 22 5 ∘ = ... rad.

$3 0^{\circ} - \frac{7 π}{6} rad + 22 5^{\circ} =$ ... rad.

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Ingat bahwa Jadi, dan Oleh karena itu, kita dapatkan Jadi, jawaban yang tepat adalah D.

Ingat bahwa

Jadi,

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 30 times 1 degree end cell equals cell 30 times pi over 180 text rad end text end cell row cell 30 degree end cell equals cell fraction numerator 30 pi over denominator 180 end fraction text rad end text end cell row cell 30 degree end cell equals cell pi over 6 text rad end text end cell end table end style$

dan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 225 times 1 degree end cell equals cell 225 times pi over 180 text rad end text end cell row cell 225 degree end cell equals cell fraction numerator 225 pi over denominator 180 end fraction text rad end text end cell row cell 225 degree end cell equals cell fraction numerator 5 pi over denominator 4 end fraction text rad end text end cell end table end style$

Oleh karena itu, kita dapatkan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 30 degree minus fraction numerator 7 pi over denominator 6 end fraction text rad end text plus 225 degree end cell equals cell pi over 6 text rad end text minus fraction numerator 7 pi over denominator 6 end fraction text rad end text plus fraction numerator 5 pi over denominator 4 end fraction text rad end text end cell row blank equals cell open parentheses pi over 6 text rad end text minus fraction numerator 7 pi over denominator 6 end fraction text rad end text close parentheses plus fraction numerator 5 pi over denominator 4 end fraction text rad end text end cell row blank equals cell negative pi text rad end text plus fraction numerator 5 pi over denominator 4 end fraction text rad end text end cell row blank equals cell negative fraction numerator 4 pi over denominator 4 end fraction text rad end text plus fraction numerator 5 pi over denominator 4 end fraction text rad end text end cell row blank equals cell pi over 4 text rad end text end cell end table end style$

Jadi, jawaban yang tepat adalah D.