buktikan No 1,2,3,4!!!!

Mapel : Matematika
Kelas : X SMA
Materi : Pembuktian Trigonometri

Pembahasan :
(Tan α - Cot α) = (1 - 2Cos²α)/(Sin α Cos α)
(Sin α / Cos α - Cos α / Sin α) = (1 - 2Cos²α)/(Sin α Cos α)
(Sin² a - Cos² α)/(Sin α Cos α) = (1 - 2Cos² α)/(Sin α Cos α)
(1 - Cos² α - Cos² α)/(Sin α Cos α) = (1 - 2Cos² α)/(Sin α Cos α)
(1 - 2Cos²α)/(Sin α Cos α) = (1 - 2Sin² α)/(Sin α Cos α)

Terbukti....
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1 + Cot² α = Csc α
1 + Cos² α / Sin² α = Csc α
(Sin² α + Cos²α)/Sin² α = Csc α
1/Sin²α = Csc α
Csc α = Csc α

Terbukti...

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Sin α (Sec α + Cot α) = Tan α + Cos α
Sin α (1/Cos α + Cos α / Sin α) = Tan α + Cos α
Sin α / Cos α + Cos α = Tan α + Cos α
Tan α + Cos α = Tan α + Cos α

Terbukti...

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Sin² θ / (1 - Cos θ) = 1 + Cos θ
(1 - Cos² θ)/(1 - Cos θ) = 1 + Cos θ
(1 - Cos θ)/(1 + Cos θ)/(1 - Cos θ) = 1 + Cos θ
1 + Cos θ = 1 + Cos θ

Terbukti...