Pertanyaan

Diketahui cos 3 5 ∘ = p . Hitunglah nilai sin 21 5 ∘ !

Diketahui $cos 3 5^{\circ} = p$ . Hitunglah nilai $sin 21 5^{\circ}$ !

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Jawaban terverifikasi

Jawaban

nilai adalah .

nilai

adalah

negative square root of 1 minus straight p squared end root

Pembahasan

Ingat kembali: Diketahui: Maka: Sehingga: Jadi,nilai adalah .

Ingat kembali:

$sin space straight theta equals fraction numerator sisi space depan over denominator sisi space miring end fraction cos space straight theta equals fraction numerator sisi space samping over denominator sisi space miring end fraction sin space open parentheses 180 degree plus straight theta close parentheses equals negative sin space straight theta$

Diketahui:

$cos space 35 degree equals straight p cos space 35 degree equals straight p over 1 rightwards arrow fraction numerator sisi space samping over denominator sisi space miring end fraction$

Maka:

sisi space depan equals square root of 1 squared minus straight p squared end root sisi space depan equals square root of 1 minus straight p squared end root

Sehingga:

$sin space 215 degree equals sin space open parentheses 180 degree plus 35 degree close parentheses sin space 215 degree equals negative sin space 35 degree sin space 215 degree equals negative fraction numerator sisi space depan over denominator sisi space miring end fraction sin space 215 degree equals negative fraction numerator square root of 1 minus straight p squared end root over denominator 1 end fraction sin space 215 degree equals negative square root of 1 minus straight p squared end root$

Jadi, nilai sin space 215 degree adalah negative square root of 1 minus straight p squared end root .