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Himpunan penyelesaian persamaan cos2x+3cosx+2=0 untuk 0∘≤x≤360∘ ....

Pertanyaan

H i m p u n a n space p e n y e l e s a i a n space p e r s a m a a n space cos 2 x plus 3 cos x plus 2 equals 0 space u n t u k space 0 degree less or equal than x less or equal than 360 degree space....

  1. open curly brackets 60 degree comma space 120 degree comma 270 degree close curly brackets

  2. open curly brackets 120 degree comma space 240 degree comma 270 degree close curly brackets

  3. open curly brackets 90 degree comma space 240 degree comma 270 degree close curly brackets

  4. open curly brackets 120 degree comma space 180 degree comma 240 degree close curly brackets

  5. open curly brackets 120 degree comma space 150 degree comma 270 degree close curly brackets

F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

Jawaban terverifikasi

Pembahasan

cos space 2 x space thin space plus space 3 space cos space x space plus thin space 2 equals 0  2 space cos squared space x minus 1 plus 3 space cos space x space plus space 2 equals 0  2 space cos squared x plus 3 space cos space x space plus 1 equals 0  left parenthesis 2 space cos space x plus 1 right parenthesis space left parenthesis cos space x plus 1 right parenthesis equals 0    D i d a p a t space cos space x space equals space minus 1 half space a t a u space cos space x equals negative 1  cos space x space equals negative 1 half space rightwards arrow space x equals 120 degree comma space 240 degree  cos space x equals negative 1 space space rightwards arrow space x equals 180 degree    M a k a space h i m p u n a n space p e n y e l e s a i a n space y a n g space m e m e n u h i space a d a l a h space open curly brackets 120 degree comma space 180 degree comma space 240 degree close curly brackets

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Himpunan nilai x yang memenuhi cos23x+2cos3x=3 dengan 0∘<x<360∘ adalah ....

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