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

Tentukan semua perbandingan trigonometri pada titik-titik berikut.

b.  

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D. Enty

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nilai cotan Q= .

nilai cotan Q = negative square root of 3.

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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 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 square root of 3 right parenthesis squared plus left parenthesis negative 1 right parenthesis squared end root end cell row blank equals cell square root of 3 plus 1 end root end cell row blank equals cell square root of 4 end cell row blank equals 2 end table 

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.

Latihan Bab

Konsep Kilat

Derajat dan Radian

Perbandingan Sisi (Trigonometri)

Sudut Istimewa (Trigonometri)

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