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Pertanyaan

cos A − cos 2 A sin A + sin 2 A ​ = ...

  1. tan invisible function application 1 half A

  2. cot invisible function application 1 half A

  3. negative tan invisible function application 1 half A

  4. negative cot invisible function application 1 half A

  5. tan invisible function application A

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F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

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Pembahasan

Ingat hubungan, Maka

Ingat hubungan,

sin invisible function application alpha plus sin invisible function application beta equals 2 sin invisible function application 1 half open parentheses alpha plus beta close parentheses cos invisible function application 1 half open parentheses alpha minus beta close parentheses  cos invisible function application alpha minus cos invisible function application beta equals negative 2 sin invisible function application 1 half open parentheses alpha plus beta close parentheses sin invisible function application 1 half open parentheses alpha minus beta close parentheses

Maka

fraction numerator sin invisible function application A plus sin invisible function application 2 A over denominator cos invisible function application A minus cos invisible function application 2 A end fraction equals fraction numerator 2 sin invisible function application 1 half open parentheses A plus 2 A close parentheses cos invisible function application 1 half open parentheses A minus 2 A close parentheses over denominator negative 2 sin invisible function application 1 half open parentheses A plus 2 A close parentheses sin invisible function application 1 half open parentheses A minus 2 A close parentheses end fraction  rightwards double arrow fraction numerator 2 sin invisible function application 3 over 2 A cos invisible function application open parentheses negative 1 half A close parentheses over denominator negative 2 sin invisible function application 3 over 2 A sin invisible function application open parentheses negative 1 half A close parentheses end fraction  rightwards double arrow fraction numerator 2 sin invisible function application 3 over 2 A cos invisible function application 1 half A over denominator 2 sin invisible function application 3 over 2 A sin invisible function application 1 half A end fraction  rightwards double arrow cot invisible function application 1 half A

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