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Himpunan penyelesaian persamaan trigonometri cos 2x - 3 cos x + 2 = 0 untuk 0 o < x < 360 adalah...

Himpunan penyelesaian persamaan trigonometri cos 2x - 3 cos x + 2 = 0 untuk 0< x < 360blank to the power of o adalah...

  1. {60blank to the power of o, 120blank to the power of o}

  2. {150blank to the power of o, 210blank to the power of o}

  3. {30blank to the power of o, 330blank to the power of o}

  4. {120blank to the power of o, 240blank to the power of o}

  5. {60blank to the power of o, 300blank to the power of o}

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F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

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cos invisible function application 2 x minus 3 space cos invisible function application x plus 2 equals 0  left right double arrow left parenthesis 2 c o s squared invisible function application x minus 1 right parenthesis minus 3 c o s invisible function application x plus 2 equals 0  left right double arrow 2 c o s squared invisible function application x minus 3 c o s invisible function application x plus 1 equals 0  left right double arrow left parenthesis 2 space cos invisible function application x minus 1 right parenthesis left parenthesis cos invisible function application x minus 1 right parenthesis equals 0  M a k a comma  cos invisible function application x equals 1 half space a t a u space space cos invisible function application x equals 1  M a k a space n i l a i space x space m e m e n u h i space p e r s a m a a n semicolon  K u a d r a n space I colon  c o s invisible function application x equals 1 half space ⟹ x equals c o s to the power of negative 1 end exponent invisible function application open parentheses 1 half close parentheses equals 60 degree  K u a d r a n space I V  cos invisible function application x equals 1 half ⟹ cos invisible function application left parenthesis 360 degree minus 60 degree right parenthesis equals cos invisible function application 300 degree  x equals 300 degree  D a n  K u a d r a n space I  c o s invisible function application x equals 1 ⟹ x equals c o s to the power of negative 1 end exponent invisible function application left parenthesis 1 right parenthesis equals 0 degree left parenthesis t i d a k space m e m e n u h i space s y a r a t space p a d a space s o a l right parenthesis  K u a d r a n space I V  cos invisible function application x equals 1 ⟹ cos invisible function application left parenthesis 360 degree minus 0 degree right parenthesis equals cos invisible function application 360 degree space left parenthesis t i d a k space m e m e n u h i space s y a r a t space p a d a space s o a l right parenthesis  S e h i n g g a space h i m p u n a n space p e n y e l e s a i a n n y a space semicolon space open curly brackets 60 degree comma 300 degree close curly brackets

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