Trigonometria Flashcards

1
Q

tgθ/2 em função de senθ e cosθ

A

Tgθ/2 = senθ/(1+cosθ)

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2
Q

Quanto vale: sen(180-θ), sen(180+θ) e sen(-θ)

A

Senθ, -senθ e -senθ

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3
Q

Quanto vale: cos(180-θ), cos(180+θ) e cos(-θ)

A

-cosθ, -cosθ e cosθ

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4
Q

Quanto vale: sen(90-θ), sen(90+θ), cos(90-θ) e cos(90+θ)

A

Cosθ, cosθ;
Senθ,-senθ

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5
Q

Quais são as prostafereses?

A

Senx + seny = 2senScosD;
Senx - seny = 2senDcosS;
Cosx + cosy = 2cosScosD;
Cosx - cosy = -2senSsenD

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6
Q

Como transformar produto em soma?

A

Sena.cosb = [sen(a+b) + sen(a-b)]/2;
Cosa.cosb = [cos(a+b) + cos(a-b)]/2;
Sena.senb = [cos(a-b) - sen (a+b)]/2

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7
Q

Como simplificar um somatório de senos ou cossenos com arcos em PA?

A

Multiplique os dois lados por 2sen(r/2)

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8
Q

Dado um triângulo ABC, diga quanto vale:
Sen(B+C), cos (B+C), tg(B+C)

A

SenA, -cosA e -tgA.

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9
Q

Dado um triângulo ABC, diga quanto vale:
Sen(B/2 + C/2), cos (B/2+ C/2) e tg(B/2 + C/2)

A

Cos(A/2), sen(A/2) e cotg(A/2).

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10
Q

Como escrever senθ e cosθ em função de tg(θ/2)?

A

Senθ= 2tg(θ/2)/[1+tg²(θ/2)];
Cosθ= [1-tg²(θ/2)]/[1+tg²(θ/2)]

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