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Bentuk sederhana dari 1 + cot 2 α adalah...

Bentuk sederhana dari  adalah...

  1. sec squared space straight alpha

  2. sin squared space straight alpha

  3. tan squared space straight alpha

  4. csc squared space straight alpha

  5. cos squared space straight alpha

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F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

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Jawaban

 1 plus cot squared space straight alpha equals csc squared space straight alpha

Pembahasan

Jadi,

table attributes columnalign right center left columnspacing 0px end attributes row cell 1 plus cot squared space straight alpha end cell equals cell 1 plus fraction numerator cos squared space straight x over denominator sin squared space straight alpha end fraction end cell row cell space space space space space space space space space space space space space space space space space end cell equals cell fraction numerator sin squared space straight alpha plus cos squared space straight x over denominator sin squared space straight alpha end fraction end cell row cell space space space space space space space space space space space space space space space space end cell equals cell fraction numerator 1 over denominator sin squared space straight alpha end fraction end cell row cell space space space space space space space space space space space space space space space space space end cell equals cell csc squared space straight alpha end cell end table

Jadi, 1 plus cot squared space straight alpha equals csc squared space straight alpha

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Perhatikan kesamaan-kesamaan trigonometri berikut! i) ( 1 + cos x ) ( 1 − cos x ) = sin 2 x ii) ( sec x + 1 ) ( sec x − 1 ) = tan 2 x iii) ( 1 − csc x ) ( csc x + 1 ) = cot 2 x Kesamaan ya...

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