Algebra/Trig. Review Flashcards by Marissa Leach | Brainscape

Q

Sin(a+b)

Sin(a-b)

A

Sina Cosb + Cosa Sinb

Sina Cosb - Cosa Sinb

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Q

Tanθ

A

Sinθ/Cosθ

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Q

Even Function

A

f(-x)=f(x)

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Q

Odd Function

A

f(-x)=-f(x)

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Q

Domain

A

Look for zeros in the Denominator, and negatives in the Roots.

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Q

Sum of perfect cubes

A

(a+b)(a^2-ab+b^2)

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Q

Difference of perfect cubes

A

(a-b)(a^2+ab+b^2)

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Q

Vertical asymptotes

A

Zeros of the denominator once holes are removed

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Q

Holes

A

Common factors in the numerator and denominator

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Q

Horizontal asymptotes

n=d

A

HA @ the ratio of leading coefficients

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Q

Horizontal asymptotes

n<d

A

HA @ y=0

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Q

Horizontal asymptotes

n>d

A

No HA

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Q

Drawing right triangles for trig. functions

A

Use x-axis!

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Q

Cos(a+b)

Cos(a-b)

A

Cosa Cosb + sina sinb

Cosa Cosb - sina sinb

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Q

Sin(2θ)

A

2 Sinθ Cosθ

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Q

Sin^2(θ) + Cos^2(θ)

A

1

Q

1+ Tan^2(θ)

A

Sec^2(θ)

Q

Cotθ

A

Cosθ/Sinθ

Q

Secθ

A

1/Cosθ

Q

Cscθ

A

1/Sinθ

Q

x^(A/B)

A

B root(x^A)