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Himpunan penyelesaian persamaan sin 4 x − cos 2 x = 0 untuk 0 ∘ ≤ x ≤ 18 0 ∘ adalah . . .

Himpunan penyelesaian persamaan  untuk  adalah . . .

  1. left curly bracket 15 degree comma 30 degree comma 45 degree comma 60 degree right curly bracket

  2. left curly bracket 15 degree comma 30 degree comma 60 degree comma 90 degree right curly bracket

  3. left curly bracket 15 degree comma 45 degree comma 75 degree comma 135 degree right curly bracket space

  4. left curly bracket 30 degree comma 60 degree comma 90 degree comma 150 degree right curly bracket

  5. left curly bracket 45 degree comma 75 degree comma 105 degree comma 135 degree right curly bracket

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R. RGFLSATU

Master Teacher

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Pembahasan

Kasus 1 Nilai cos sama dengan 0, jika berada pada sudut Kasus 2 , nilai sama dengan , jika berada pada sudut

sin space 4 x minus cos space 2 x equals 0 space 2 space sin space 2 x space space cos space 2 x minus cos space 2 x equals 0 space cos space 2 x space left parenthesis 2 space sin space 2 x minus 1 right parenthesis equals 0 space

Kasus 1 left parenthesis cos space 2 x equals 0 right parenthesis colon

Nilai cos sama dengan 0, jika berada pada sudut 90 degree space dan space 270 degree

cos space 2 x equals cos space 90 to the power of degree space space space space cos space 2 x equals cos space 270 to the power of 0 space space 2 x equals 90 to the power of degree space space space space space space space space space space space space space space space space space space space space 2 x equals 270 to the power of 0 space space space x equals 45 to the power of degree space space space space space space space space space space space space space space space space space space space space space space space x equals 135 to the power of 0

Kasus 2 open parentheses 2 space sin space 2 straight x minus 1 equals 0 space atau space 2 space sin space 2 straight x equals 1 close parentheses

2 space sin space 2 x space equals space 1 left right double arrow sin space 2 x equals 1 half, nilai sin sama dengan 1 half, jika berada pada sudut 30 to the power of degree space dan space 150 to the power of degree

sin space 2 x equals sin space 30 to the power of 0 space space space space space sin space 2 x equals sin space 150 to the power of 0 space space space 2 x equals 20 to the power of 0 space space space space space space space space space space space space space space space space space space space space 2 x equals 150 to the power of 0 space space space x equals 15 to the power of 0 space space space space space space space space space space space space space space space space space space space space space space space space space x equals 75 to the power of 0

therefore H P equals open curly brackets 15 to the power of degree comma space 45 to the power of degree comma space 75 to the power of degree comma space 135 to the power of degree close curly brackets

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Himpunan penyelesaian persamaan cos 2 x − 2 cos x = − 1 untuk 0 ≤ x ≤ 2 π adalah . . .

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