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Jika diketahui , maka nilai di kuadran II adalah

Jika diketahui begin mathsize 14px style tan space theta equals a end style, maka nilai begin mathsize 14px style sin space theta end style di kuadran II adalah undefined  

  1. begin mathsize 14px style fraction numerator a over denominator square root of 1 plus a squared end root end fraction end style  

  2. begin mathsize 14px style fraction numerator negative a over denominator square root of 1 plus a squared end root end fraction end style 

  3. begin mathsize 14px style fraction numerator 1 over denominator square root of 1 plus a squared end root end fraction end style 

  4. begin mathsize 14px style negative 1 over a square root of 1 plus a squared end root end style 

  5. begin mathsize 14px style fraction numerator negative 1 over denominator a square root of 1 plus a squared end root end fraction end style 

Jawaban:

begin mathsize 14px style tan space theta equals a end style, sehingga sisi depan = a satuan, sisi samping = 1 satuan. Ilustrasi seperti di bawah ini.

Dengan Pythagoras didapat panjang sisi miring,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell miring squared end cell equals cell depan squared plus samping squared end cell row blank equals cell straight a squared plus 1 squared end cell row blank equals cell straight a squared plus 1 end cell row miring equals cell square root of straight a squared plus 1 end root end cell end table end style 

Sehingga,

undefined 

sin bernilai positif pada kuadran II, sehingga begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight theta end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator straight a over denominator square root of straight a squared plus 1 end root end fraction end cell end table end style.

Jadi, jawaban yang tepat adalah A.

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