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Pertanyaan

cos 2 30 o – sin 2 135 o + 8 sin 45 o cos 135 o = ....

cos2 30o – sin2 135o + 8 sin 45o cos 135o = ....

  1. negative 4 1 fourth

  2. negative 3 3 over 4

  3. 4 1 fourth

  4. 4

  5. 3 3 over 4

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

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Pembahasan

cos 2 30 o – sin 2 135 o + 8 sin 45 o cos 135 o

cos2 30o – sin2 135o + 8 sin 45o cos 135o

equals open parentheses 1 half space square root of 3 close parentheses squared minus sin squared invisible function application open parentheses 180 to the power of o minus 45 to the power of o close parentheses plus 8 open parentheses 1 half square root of 2 close parentheses cos invisible function application open parentheses 180 to the power of o minus 45 to the power of o close parentheses

equals 3 over 4 minus sin squared invisible function application 45 to the power of o plus 4 square root of 2 cos invisible function application 45 to the power of o equals 3 over 4 minus open parentheses 1 half square root of 2 close parentheses squared plus 4 square root of 2 open parentheses 1 half square root of 2 close parentheses equals 3 over 2 minus 2 over 4 plus 4 open parentheses 2 over 2 close parentheses equals 1 fourth plus 4 equals 1 fourth plus 4

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Muhammad Nabil Riyanto

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