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Nilai dari sin 15 0 ∘ + 4 ⋅ cos 33 0 ∘ − t g 22 5 ∘

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S. Nur

Master Teacher

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nilai

nilai table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 150 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 330 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank t end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank g end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 225 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 half end cell end table 

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Pembahasan

Nilai sinus pada sudut berelasi di kuadran II, yaitu Nilai tangenpada sudut berelasi di kuadran III, yaitu Nilai cosinuspada sudut berelasi di kuadran IV, yaitu Berdasarkan konsep di atas, dapat ditentukan nilai trigonometri dari berbagai kuadran berikut. Hasil dari operasi hitung nilai trigonometri tersebut adalah sebagai berikut. Dengan demikian, nilai

Nilai sinus pada sudut berelasi di kuadran II, yaitu

sin space open parentheses 180 degree minus alpha close parentheses equals sin space alpha

Nilai tangen pada sudut berelasi di kuadran III, yaitu

tan space open parentheses 180 degree plus alpha close parentheses equals tan space alpha

Nilai cosinus pada sudut berelasi di kuadran IV, yaitu

cos space open parentheses 360 degree minus alpha close parentheses equals cos space alpha

Berdasarkan konsep di atas, dapat ditentukan nilai trigonometri dari berbagai kuadran berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell sin space 150 degree end cell equals cell sin space open parentheses 180 degree minus 30 degree close parentheses end cell row blank equals cell sin space 30 degree end cell row blank equals cell 1 half end cell end table

table attributes columnalign right center left columnspacing 0px end attributes row cell cos space 330 degree end cell equals cell cos space open parentheses 360 degree minus 30 degree close parentheses end cell row blank equals cell cos space 30 degree end cell row blank equals cell 1 half square root of 3 end cell end table

table attributes columnalign right center left columnspacing 0px end attributes row cell t g space 225 degree end cell equals cell t g space open parentheses 180 degree plus 45 degree close parentheses end cell row blank equals cell t g space 45 degree end cell row blank equals 1 end table

Hasil dari operasi hitung nilai trigonometri tersebut adalah sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell sin space 150 degree plus 4 times cos space 330 degree minus t g space 225 degree end cell row blank equals cell 1 half plus 4 times 1 half square root of 3 minus 1 end cell row blank equals cell 2 square root of 3 minus 1 half end cell end table

Dengan demikian, nilai table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 150 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 330 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank t end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank g end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 225 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 half end cell end table 

Latihan Bab

Konsep Kilat

Derajat dan Radian

Perbandingan Sisi (Trigonometri)

Sudut Istimewa (Trigonometri)

124

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