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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.  

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D. Enty

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nilai cotanP = .

nilai cotan P = negative square root of 3.

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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 r

table attributes columnalign right center left columnspacing 0px end attributes row r equals cell square root of x squared plus y squared end root end cell row blank equals cell square root of left parenthesis negative 9 right parenthesis squared plus left parenthesis 3 square root of 3 right parenthesis squared end root end cell row blank equals cell square root of 81 plus 27 end root end cell row blank equals cell square root of 108 end cell row blank equals cell square root of 36 times 3 end root end cell row blank equals cell 6 square root of 3 end cell end table 

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 = 2.

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.

Latihan Bab

Konsep Kilat

Derajat dan Radian

Perbandingan Sisi (Trigonometri)

Sudut Istimewa (Trigonometri)

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