Pertanyaan

Jika sin 2 x = 7 1 ,maka nilai dari sin x - cos x adalah ....

Jika $sin 2 x = \frac{1}{7}$ , maka nilai dari sin x - cos x adalah ....

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Klaim

M. Mariyam

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses sin invisible function application x minus cos invisible function application x close parentheses squared end cell equals cell 1 minus 1 over 7 end cell row cell open parentheses sin invisible function application x minus cos invisible function application x close parentheses squared end cell equals cell 7 over 7 minus 1 over 7 end cell row cell open parentheses sin invisible function application x minus cos invisible function application x close parentheses squared end cell equals cell 6 over 7 end cell row cell sin invisible function application x minus cos invisible function application x end cell equals cell plus-or-minus square root of 6 over 7 end root end cell row cell sin invisible function application x minus cos invisible function application x end cell equals cell plus-or-minus fraction numerator square root of 6 over denominator square root of 7 end fraction end cell row cell sin invisible function application x minus cos invisible function application x end cell equals cell plus-or-minus fraction numerator square root of 6 over denominator square root of 7 end fraction times fraction numerator square root of 7 over denominator square root of 7 end fraction end cell row cell sin invisible function application x minus cos invisible function application x end cell equals cell plus-or-minus fraction numerator square root of 42 over denominator 7 end fraction end cell row cell sin invisible function application x minus cos invisible function application x end cell equals cell plus-or-minus 1 over 7 square root of 42 end cell end table end style$