Pertanyaan

Jika tan x = a, maka sin 2x sama dengan...

$fraction numerator 2 a over denominator 1 plus a squared end fraction$
$fraction numerator 1 plus a squared over denominator 2 a end fraction$
$fraction numerator 1 minus a squared over denominator 1 plus a squared end fraction$
$fraction numerator 1 plus a squared over denominator 1 minus a squared end fraction$
$fraction numerator a over denominator a plus a squared end fraction$

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Pembahasan

$sin space x space equals fraction numerator a over denominator square root of a squared plus 1 end root end fraction cos space x space equals space fraction numerator 1 over denominator square root of a squared plus 1 end root end fraction sin space 2 x space equals space 2 space sin space x space cos space x space equals space 2 space open parentheses fraction numerator a over denominator square root of a squared plus 1 end root end fraction close parentheses open parentheses fraction numerator 1 over denominator square root of a squared plus 1 end root end fraction close parentheses sin space 2 x space equals space fraction numerator 2 over denominator a squared plus 1 end fraction$