Iklan

Pertanyaan

Himpunan semua bilangan real x pada selang [ 0 , 2 π ] yang memenuhi 2 cos 2 x ≤ 3 − 3 cos 2 x berbentuk [ a , b ] ∪ [ c , d ] . Nilai a+b+c+d adalah.....

Himpunan semua bilangan real x pada selang yang memenuhi berbentuk Nilai a+b+c+d adalah.....

  1. straight pi

  2. 2 straight pi

  3. 3 straight pi

  4. 4 straight pi

  5. 5 straight pi

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

01

:

01

:

41

:

58

Klaim

Iklan

A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

i right parenthesis S e d e r h a n a k a n space p e r t i d a k s a m a a n space y a n g space d i m i l i k i  2 cos squared invisible function application x less or equal than 3 minus 3 cos invisible function application 2 x  I n g a t space b a h w a space c o s invisible function application 2 x equals 2 c o s squared invisible function application x minus 1 comma space m a k a space p e r t i d a k s a m a a n space d i space a t a s space m e n j a d i  2 c o s squared invisible function application x less or equal than 3 minus 3 left parenthesis 2 c o s squared invisible function application x minus 1 right parenthesis  2 c o s squared invisible function application x less or equal than 3 minus 6 c o s squared invisible function application x plus 3  8 c o s squared invisible function application x minus 6 less or equal than 0  4 c o s squared invisible function application x minus 3 less or equal than 0  open parentheses 2 cos invisible function application x plus square root of 3 close parentheses open parentheses 2 cos invisible function application x minus square root of 3 close parentheses less or equal than 0    i i right parenthesis T e n t u k a n space p e m b u a t space n o l space p a d a space b e n t u k space d a r i space r u a s space k i r i space d a n space t e m p a t k a n space p a d a space g a r i s space b i l a n g a n  open parentheses 2 cos invisible function application x plus square root of 3 close parentheses open parentheses 2 cos invisible function application x minus square root of 3 close parentheses less or equal than 0  M a k a  2 cos invisible function application x plus square root of 3 equals 0  2 cos invisible function application x equals negative square root of 3  cos invisible function application x equals negative 1 half square root of 3    U n t u k space s e l a n g space left square bracket 0 comma 2 pi right square bracket space d i p e n u h i space u n t u k space x equals 5 over 6 pi space a t a u space x equals 7 over 6 pi  S e r t a  2 cos invisible function application x minus square root of 3 equals 0  2 cos invisible function application x equals square root of 3  cos invisible function application x equals 1 half square root of 3  U n t u k space s e l a n g space left square bracket 0 comma 2 pi right square bracket space d i p e n u h i space u n t u k space x equals 1 over 6 pi space a t a u space x equals 11 over 6 pi  P a d a space g a r i s space b i l a n g a n space colon

T a n d a space b u l a t space h i t a m space d i space a t a s space k a r e n a space p a d a space p e r t i d a k s a m a a n space d i space a t a s space m e n g a n d u n g space u n s u r space s a m a space d e n g a n space left parenthesis equals right parenthesis. space  K a r e n a space x space d i b a t a s i space p a d a space s e l a n g space left square bracket 0 comma 2 pi right square bracket comma space m a k a space g a r i s space b i l a n g a n space y a n g space d i b e n t u k space a d a l a h space d a r i space x equals 0 space h i n g g a space x equals 2 pi.    i i i right parenthesis T e n t u k a n space tan d a space d a r i space m a sin g minus m a sin g space d a e r a h. space  K a r e n a space n i l a i minus n i l a i space x space d i b a t a s i space p a d a space s e l a n g space left square bracket 0 comma 2 pi right square bracket comma space m a k a space l a k u k a n space u j i space t i t i k space d e n g a n space m e m i l i h space t i t i k space x space p a d a space s e l a n g space left square bracket 0 comma 2 pi right square bracket. space  J i k a space d i u j i space t i t i k space x equals pi comma space m a k a  open parentheses 2 cos invisible function application x plus square root of 3 close parentheses open parentheses 2 cos invisible function application x minus square root of 3 close parentheses equals open parentheses plus close parentheses open parentheses plus close parentheses equals open parentheses plus close parentheses  M e n g h a s i l k a n space b i l a n g a n space p o s i t i f comma space s e h i n g g a space d a e r a h space y a n g space m e n g a n d u n g space t i t i k space ? equals ? space b e r n i l a i space p o s i t i f. space  D a e r a h space y a n g space l a i n space a k a n space m e m i l i k i space tan d a space y a n g space b e r l a w a n a n space d e n g a n space d a e r a h space t e tan g g a n y a comma space s e h i n g g a

i v right parenthesis T e t a p k a n space d a e r a h space p e n y e l e s a i a n space  K a r e n a space p e r t i d a k s a m a a n space a k h i r space b e r b e n t u k  open parentheses 2 cos invisible function application x plus square root of 3 close parentheses open parentheses 2 cos invisible function application x minus square root of 3 close parentheses less or equal than 0  M a k a space d i p i l i h space d a e r a h minus d a e r a h space y a n g space b e r n i l a i space left parenthesis negative right parenthesis comma space y a i t u

S e h i n g g a space d i d a p a t space d a e r a h space p e n y e l e s a i a n  1 over 6 pi less or equal than x less or equal than 5 over 6 pi space a t a u space 7 over 6 pi less or equal than x less or equal than 11 over 6 pi  Y a n g space d a p a t space j u g a space d i t u l i s space s e b a g a i  open square brackets 1 over 6 pi comma 5 over 6 pi close square brackets union open square brackets 7 over 6 pi comma 11 over 6 pi close square brackets    v right parenthesis B a n d i n g k a n space d a e r a h space p e n y e l e s a i a n space  D a r i space p e r h i t u n g a n space d i d a p a t k a n space d a e r a h space p e n y e l e s a i a n space y a i t u space open square brackets 1 over 6 pi comma 5 over 6 pi close square brackets union open square brackets 7 over 6 pi comma 11 over 6 pi close square brackets  D a r i space s o a l space d i d a p a t k a n space d a e r a h space p e n y e l e s a i a n space y a i t u space left square bracket a comma b right square bracket union left square bracket c comma d right square bracket. space  M a k a  a equals 1 over 6 pi  b equals 5 over 6 pi  c equals 7 over 6 pi  d equals 11 over 6 pi  S e h i n g g a  a plus b plus c plus d equals 1 over 6 pi plus 5 over 6 pi plus 7 over 6 pi plus 11 over 6 pi equals 4 pi

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

1

Iklan

Pertanyaan serupa

Diketahui persamaan cos 2 x − 3 sin x + 1 = 0 , untuk 0 ≤ x ≤ 2 π ​ . Nilai tan x = ...

1

5.0

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

[email protected]

Contact 02130930000

02130930000

Ikuti Kami

©2025 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia