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Perhatikan segitiga berikut! Siku-siku di B, maka tentukan: sin A cos A tan C cosec C

Perhatikan segitiga berikut! 



Siku-siku di B, maka tentukan: 

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A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

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 begin mathsize 14px style sin space straight A equals 1 half square root of 2 comma space cos space straight A equals 1 half square root of 2 comma space tan space straight C equals 1 comma space cosec space straight C equals square root of 2 end style

Pembahasan

Segitiga siku-siku di B, maka dengan menggunakan teorema Pythagoras diperoleh Sehingga Jadi .

Segitiga siku-siku di B, maka dengan menggunakan teorema Pythagoras diperoleh 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row AC equals cell square root of AB squared plus BC squared end root end cell row blank equals cell square root of 1 squared plus 1 squared end root end cell row blank equals cell square root of 1 plus 1 end root end cell row blank equals cell square root of 2 space cm end cell end table end style 

Sehingga 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin space straight A end cell equals cell fraction numerator sisi space depan space straight A over denominator sisi space miring end fraction equals fraction numerator 1 over denominator square root of 2 end fraction equals 1 half square root of 2 end cell row cell cos space straight A end cell equals cell fraction numerator sisi space samping space straight A over denominator sisi space miring end fraction equals fraction numerator 1 over denominator square root of 2 end fraction equals 1 half square root of 2 end cell row cell tan space straight C end cell equals cell fraction numerator sisi space depan space straight C over denominator sisi space samping space straight C end fraction equals 1 over 1 equals 1 end cell row cell cosec space straight C end cell equals cell fraction numerator sisi space miring over denominator sisi space depan space straight C space end fraction equals fraction numerator square root of 2 over denominator 1 end fraction equals square root of 2 end cell end table end style 

Jadi begin mathsize 14px style sin space straight A equals 1 half square root of 2 comma space cos space straight A equals 1 half square root of 2 comma space tan space straight C equals 1 comma space cosec space straight C equals square root of 2 end style

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