Pertanyaan

Jika didalam sebuah segitigasiku-siku A BC diketahui nilai tan A = 6 , maka tentukanlah nilai sin A , cos A , sec A , cosc A , dan cot A .

Jika didalam sebuah segitiga siku-siku $A BC$ diketahui nilai $tan A = 6$ , maka tentukanlah nilai $sin A, cos A, sec A, cosc A, dan cot A$ .

S. Surya

Master Teacher

Jawaban terverifikasi

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row cell tan space A end cell equals cell square root of 6 end cell row cell depan over samping end cell equals cell fraction numerator square root of 6 over denominator 1 end fraction end cell row blank blank blank row miring equals cell square root of square root of 6 squared plus 1 squared end root end cell row blank equals cell square root of 7 end cell row blank blank blank row cell sin space A end cell equals cell depan over miring end cell row blank equals cell fraction numerator square root of 6 over denominator square root of 7 end fraction end cell row blank blank blank row cell cos space A end cell equals cell samping over miring end cell row blank equals cell fraction numerator 1 over denominator square root of 7 end fraction end cell row blank equals cell 1 over 7 square root of 7 end cell row blank blank blank row cell cosec space A end cell equals cell fraction numerator 1 over denominator sin space A end fraction end cell row blank equals cell fraction numerator 1 over denominator fraction numerator square root of 6 over denominator square root of 7 end fraction end fraction end cell row blank equals cell fraction numerator square root of 7 over denominator square root of 6 end fraction end cell row blank blank blank row cell sec space A end cell equals cell fraction numerator 1 over denominator cos space A end fraction end cell row blank equals cell fraction numerator 1 over denominator fraction numerator 1 over denominator square root of 7 end fraction end fraction end cell row blank equals cell square root of 7 end cell row blank blank blank row cell cot space A end cell equals cell fraction numerator 1 over denominator tan space A end fraction end cell row blank equals cell fraction numerator 1 over denominator square root of 6 end fraction end cell row blank equals cell 1 over 6 square root of 6 end cell end table$