Pertanyaan

Jika cos x 1 + sin x = 4 1 , maka nilai dari tan 2 1 x adalah ....

Jika $\frac{1 + sin x}{cos x} = \frac{1}{4}$ , maka nilai dari $tan \frac{1}{2} x$ adalah ....

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Klaim

D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 1 plus sin invisible function application x over denominator cos invisible function application x end fraction end cell equals cell 1 fourth end cell row cell fraction numerator 1 plus sin invisible function application open parentheses 2 times 1 half x close parentheses over denominator cos invisible function application open parentheses 2 times 1 half x close parentheses end fraction end cell equals cell 1 fourth end cell row cell fraction numerator open parentheses sin squared invisible function application open parentheses 1 half x close parentheses plus cos squared invisible function application open parentheses 1 half x close parentheses close parentheses plus 2 sin invisible function application open parentheses 1 half x close parentheses cos invisible function application open parentheses 1 half x close parentheses over denominator cos squared invisible function application open parentheses 1 half x close parentheses minus sin squared invisible function application open parentheses 1 half x close parentheses end fraction end cell equals cell 1 fourth end cell row cell fraction numerator sin squared invisible function application open parentheses 1 half x close parentheses plus 2 sin invisible function application open parentheses 1 half x close parentheses cos invisible function application open parentheses 1 half x close parentheses plus cos squared invisible function application open parentheses 1 half x close parentheses over denominator cos squared invisible function application open parentheses 1 half x close parentheses minus sin squared invisible function application open parentheses 1 half x close parentheses end fraction end cell equals cell 1 fourth end cell row cell fraction numerator open parentheses sin invisible function application open parentheses 1 half x close parentheses plus cos invisible function application open parentheses 1 half x close parentheses close parentheses open parentheses sin invisible function application open parentheses 1 half x close parentheses plus cos invisible function application open parentheses 1 half x close parentheses close parentheses over denominator open parentheses cos invisible function application open parentheses 1 half x close parentheses plus sin invisible function application open parentheses 1 half x close parentheses close parentheses open parentheses cos invisible function application open parentheses 1 half x close parentheses minus sin invisible function application open parentheses 1 half x close parentheses close parentheses end fraction end cell equals cell 1 fourth end cell row cell fraction numerator open parentheses cos invisible function application open parentheses 1 half x close parentheses plus sin invisible function application open parentheses 1 half x close parentheses close parentheses open parentheses cos invisible function application open parentheses 1 half x close parentheses plus sin invisible function application open parentheses 1 half x close parentheses close parentheses over denominator open parentheses cos invisible function application open parentheses 1 half x close parentheses plus sin invisible function application open parentheses 1 half x close parentheses close parentheses open parentheses cos invisible function application open parentheses 1 half x close parentheses minus sin invisible function application open parentheses 1 half x close parentheses close parentheses end fraction end cell equals cell 1 fourth end cell row cell fraction numerator open parentheses cos invisible function application open parentheses 1 half x close parentheses plus sin invisible function application open parentheses 1 half x close parentheses close parentheses over denominator open parentheses cos invisible function application open parentheses 1 half x close parentheses minus sin invisible function application open parentheses 1 half x close parentheses close parentheses end fraction end cell equals cell 1 fourth end cell row cell 4 open parentheses cos invisible function application open parentheses 1 half x close parentheses plus sin invisible function application open parentheses 1 half x close parentheses close parentheses end cell equals cell cos invisible function application open parentheses 1 half x close parentheses minus sin invisible function application open parentheses 1 half x close parentheses end cell row cell 4 sin invisible function application open parentheses 1 half x close parentheses plus sin invisible function application open parentheses 1 half x close parentheses end cell equals cell cos invisible function application open parentheses 1 half x close parentheses minus 4 cos invisible function application open parentheses 1 half x close parentheses end cell row cell 5 sin invisible function application open parentheses 1 half x close parentheses end cell equals cell negative 3 cos invisible function application open parentheses 1 half x close parentheses end cell row cell fraction numerator sin invisible function application open parentheses 1 half x close parentheses over denominator cos invisible function application open parentheses 1 half x close parentheses end fraction end cell equals cell negative 3 over 5 end cell end table end style$