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Tentukan semua perbandingan trigonometri pada titik-titik berikut. a. P(-9,3 3 )

Tentukan semua perbandingan trigonometri pada titik-titik berikut.

a. $P(-9, 3 3)$

D. Enty

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nilai cotanP = .

nilai cotan P = negative square root of 3

Pembahasan

Menentukan panjang Menentukan sin P Jadi, nilai sin P = . Menentukan cosP Jadi, nilai cosP = . Menentukan tanP Jadi, nilai tanP = . Menentukan secP Jadi, nilai secP = . Menentukan cosecP Jadi, nilai cosecP = . Menentukan cotanP Jadi, nilai cotanP = .

Menentukan panjang

Menentukan sin P

$table attributes columnalign right center left columnspacing 0px end attributes row cell sin space straight P end cell equals cell y over r end cell row blank equals cell fraction numerator 3 square root of 3 over denominator 6 square root of 3 end fraction end cell row blank equals cell 1 half end cell end table$

Jadi, nilai sin P = 1 half .

Menentukan cos P

$table attributes columnalign right center left columnspacing 0px end attributes row cell cos space straight P end cell equals cell x over r end cell row blank equals cell fraction numerator negative 9 over denominator 6 square root of 3 end fraction end cell row blank equals cell negative fraction numerator 3 over denominator 2 square root of 3 end fraction end cell row blank equals cell negative fraction numerator 3 over denominator 2 square root of 3 end fraction times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell negative fraction numerator 3 square root of 3 over denominator 6 end fraction end cell row blank equals cell negative 1 half square root of 3 end cell end table$

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

Menentukan tan P

$table attributes columnalign right center left columnspacing 0px end attributes row cell tan space straight P end cell equals cell y over x end cell row blank equals cell fraction numerator 3 square root of 3 over denominator negative 9 end fraction end cell row blank equals cell negative 1 third square root of 3 end cell end table$

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

Menentukan sec P

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

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

Menentukan cosec P

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

Jadi, nilai cosec P = .

Menentukan cotan P

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

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

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