Jawaban:

Trigonometri

Penjelasan dengan langkah-langkah:

a. Sin β = 1/2

β = 30

⇒Cos 30 = 1/2√(3)

⇒Tan 30 = 1/3√(3)

⇒Cot 30 = 1/Tan 30

= 1/(1/3√(3)

= 1x(3/√(3)

= 3/√(3)

= 3/√(3) x √(3)/√(3)

= 3x√(3)/3

= √(3)

⇒ Sec 30 = 1/Cos 30

= 1/(1/2√(3)

= 1x(2/√(3)

= 2/√(3) x √(3)/√(3)

= 2√(3)/3

= 2√(3)

3

⇒ Cosec 30 = 1/Sin 30

= 1/(1/2)

= 1x(2/1)

= 2

b. Cos β = 2/5

β = 66, 42182152

⇒Sin 66, 421182152 = 0,91651514

⇒Tan 66, 421182152 = 2,29128785

⇒Cot 66, 421182152 = 0,43643578

⇒Sec 66, 421182152 = 2,5

⇒Cosec 66, 421182152 = 1,09108945

c. Tan β = 5

β = 78,69006753

⇒Sin 78,69006753 = 0,98058068

⇒Cos 78,69006753 = 0,19611614

⇒Cot 78,69006753 = 0,2

⇒Sec 78,69006753 = 5,09901952

⇒Cosec 78,69006753 = 1,0198039

d. 5 Cosec β = 3

Cosec β = 3/5

⇒Tidak dapat terdefinisikan

Catatan:

< Sudut lancip = Kuadran 1

Maka sudut Sin, Cos, Tan, Cot, Sec, Cosec memiliki sudut (+) semua.

Detail Jawaban

Mapel: Matematika

Kelas: 10 / X SMA

Materi: Trigonometri

Kode Kategorisasi: -

Kata Kunci: Trigonometri

Demikian

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