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Selesaikan persamaan invers trigonometri: cos − 1 t = sin − 1 t

Selesaikan persamaan invers trigonometri:

 

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A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

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 Error converting from MathML to accessible text..

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Pembahasan

Ingat bahwa: Sehingga, Jadi, .

Ingat bahwa:

  • table attributes columnalign right center left columnspacing 0px end attributes row cell sin open parentheses cos to the power of negative 1 end exponent space t close parentheses end cell equals cell square root of 1 minus t squared end root end cell row cell sin left parenthesis sin to the power of negative 1 end exponent t right parenthesis end cell equals t end table 

Sehingga,

table attributes columnalign right center left columnspacing 0px end attributes row cell cos to the power of negative 1 end exponent space t end cell equals cell sin to the power of negative 1 end exponent space t end cell row cell sin open parentheses cos to the power of negative 1 end exponent space t close parentheses end cell equals cell sin open parentheses sin to the power of negative 1 end exponent space t close parentheses end cell row cell square root of 1 minus t squared end root end cell equals t row cell 1 minus t squared end cell equals cell t squared end cell row cell negative 2 t squared end cell equals cell negative 1 end cell row cell t squared end cell equals cell 1 half end cell row t equals cell plus-or-minus square root of 1 half end root end cell end table 

Jadi, Error converting from MathML to accessible text..

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