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1. IDENTIDADES TRIGONOMETRICAS

(a) Sen 2(θ) + Cos 2(θ) = 1

(b) T g2(θ) + 1 = Sec 2(θ)

(c) 1 + Ctg 2(θ) = C sc 2(θ)

(d) T g(θ) = Sen (θ )Cos (θ )

(e) Ctg (θ) = Cos (θ )Sen (θ )

(f) Sen (θ)Csc (θ) = 1

(g) Cos (θ)Sec (θ) = 1

(h) T g(θ)Ctg (θ) = 1

2. SUMA Y DIFERENCIA DE ÀNGULOS

(a) Sen (α ± β ) = Sen (α )Cos (β ) ± Sen (β )Cos (α )

(b) Cos (α ± β ) = C os (α )Cos (β ) ∓ Sen (α )Sen (β )

(c) T g(α ± β ) = T g (α ± β )1∓T g (α )T g (β )

3. ÀNGULO DOBLE

(a) Sen (2α ) = 2 Sen (α )Cos (α )

(b) Cos (2α ) = C os 2(α ) − Sen 2(α )

(c) T g(2α ) = 2T g (α )

1− T g2

(α )

4. ÀNGULO MITAD

(a) Sen ( α2 ) = 1− Cos (α )2

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(b) Cos ( α2 ) = 1+ Cos (α )2(c) T g( α2 ) = 1− Cos (α )1+ Cos (α )

5. OTROS

(a) Cos 2(α ) = 1+ Cos (2 α )2

(b) Sen 2(α ) = 1− Cos (2 α )2

(c) Sen (α )Cos (β ) = 12 [Sen (α + β ) + Sen (α − β )]

(d) Sen (β )Cos (α ) = 12 [Sen (α + β ) − Sen (α − β )]

(e) Cos (β )Cos (α ) = 12 [Cos (α + β ) + Cos (α − β )]

(f) Sen (β )Sen (α ) = 12 [Cos (α − β ) − Cos (α + β )]

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