Pertanyaan

Tentukan semua perbandingan trigonometri pada titik-titik berikut. b. Q( 3 ,-1 )

Tentukan semua perbandingan trigonometri pada titik-titik berikut.

b. $Q(3, -1)$

D. Enty

Master Teacher

Jawaban terverifikasi

Jawaban

nilai cotan Q= .

nilai cotan Q = negative square root of 3

Pembahasan

Menentukan panjang Menentukan sin Q Jadi, nilai sin Q= . Menentukan cos Q Jadi, nilai cos Q= . Menentukan tan Q Jadi, nilai tan Q= . Menentukan sec Q Jadi, nilai sec Q= . Menentukan cosec Q Jadi, nilai cosec Q= . Menentukan cotan Q Jadi, nilai cotan Q= .

Menentukan panjang

Menentukan sin Q

$table attributes columnalign right center left columnspacing 0px end attributes row cell sin space Q end cell equals cell y over r end cell row blank equals cell fraction numerator negative 1 over denominator 2 end fraction end cell row blank equals cell negative 1 half end cell end table$

Jadi, nilai sin Q = negative 1 half .

Menentukan cos Q

$table attributes columnalign right center left columnspacing 0px end attributes row cell cos space Q end cell equals cell x over r end cell row blank equals cell fraction numerator square root of 3 over denominator 2 end fraction end cell row blank equals cell 1 half square root of 3 end cell end table$

Jadi, nilai cos Q = 1 half square root of 3 .

Menentukan tan Q

$table attributes columnalign right center left columnspacing 0px end attributes row cell tan space Q end cell equals cell y over x end cell row blank equals cell fraction numerator negative 1 over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator negative 1 over denominator square root of 3 end fraction times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell negative 1 third square root of 3 end cell end table$

Jadi, nilai tan Q = negative 1 third square root of 3 .

Menentukan sec Q

$table attributes columnalign right center left columnspacing 0px end attributes row cell sec space straight Q end cell equals cell fraction numerator 1 over denominator cos space text Q end text end fraction end cell row blank equals cell fraction numerator 1 over denominator begin display style fraction numerator square root of 3 over denominator 2 end fraction end style end fraction end cell row blank equals cell fraction numerator 2 over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator 2 over denominator square root of 3 end fraction times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell 2 over 3 square root of 3 end cell end table$

Jadi, nilai sec Q = 2 over 3 square root of 3 .

Menentukan cosec Q

$table attributes columnalign right center left columnspacing 0px end attributes row cell cosec space Q end cell equals cell fraction numerator 1 over denominator sin space Q end fraction end cell row blank equals cell fraction numerator 1 over denominator negative 1 half end fraction end cell row blank equals cell negative 2 over 1 end cell row blank equals cell negative 2 end cell end table$

Jadi, nilai cosec Q = negative 2 .

Menentukan cotan Q

$table attributes columnalign right center left columnspacing 0px end attributes row cell cotan space Q end cell equals cell fraction numerator 1 over denominator tan space Q end fraction end cell row blank equals cell fraction numerator 1 over denominator negative begin display style fraction numerator square root of 3 over denominator 3 end fraction end style end fraction end cell row blank equals cell negative fraction numerator 3 over denominator square root of 3 end fraction end cell row blank equals cell negative fraction numerator 3 over denominator square root of 3 end fraction times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell negative 3 over 3 square root of 3 end cell row blank equals cell negative square root of 3 end cell end table$

Jadi, nilai cotan Q = negative square root of 3 .