Pertanyaan

Tentukan nilai x yang memenuhi persamaan berikut. a. 2 tan − 1 x = tan − 1 ( 4 x 1 )

Tentukan nilai $x$ yang memenuhi persamaan berikut.

a. $2 tan^{- 1} x = tan^{- 1} (\frac{1}{4 x})$

S. Yoga

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

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Pembahasan

Ingat bahwa: Sehingga, Jadi, .

Ingat bahwa:

Sehingga,

$table attributes columnalign right center left columnspacing 0px end attributes row cell 2 space tan to the power of negative 1 end exponent x end cell equals cell tan to the power of negative 1 end exponent space open parentheses fraction numerator 1 over denominator 4 x end fraction close parentheses end cell row cell tan open parentheses 2 space tan to the power of negative 1 end exponent x close parentheses end cell equals cell tan open parentheses tan to the power of negative 1 end exponent space open parentheses fraction numerator 1 over denominator 4 x end fraction close parentheses close parentheses end cell row cell fraction numerator 2 x over denominator 1 minus tan open parentheses tan to the power of negative 1 end exponent x close parentheses squared end fraction end cell equals cell fraction numerator 1 over denominator 4 x end fraction end cell row cell fraction numerator 2 x over denominator 1 minus x squared end fraction end cell equals cell fraction numerator 1 over denominator 4 x end fraction end cell row cell 2 x times 4 x end cell equals cell open parentheses 1 minus x squared close parentheses times 1 end cell row cell 8 x squared end cell equals cell 1 minus x squared end cell row cell 9 x squared end cell equals 1 row cell x squared end cell equals cell 1 over 9 end cell row x equals cell plus-or-minus square root of 1 over 9 end root end cell row x equals cell plus-or-minus 1 third end cell end table$

Jadi, Error converting from MathML to accessible text. .