precalc exam formulas

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Last updated 3:50 AM on 5/12/26
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13 Terms

1
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Polar to Rectangular Conversion

x = r cos(θ), y = r sin(θ)

2
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Rectangular to Polar Conversion

r = √(x² + y²), θ = tan⁻¹(y/x)

3
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Double Angle: sin(2θ)

2 sin(θ) cos(θ)

4
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Sum/Difference: sin(A ± B)

sin(A ± B) = sinA cosB ± cosA sinB

5
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csc(θ)

1/sin(θ)

6
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sec(θ)

1/cos(θ)

7
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tan(θ)

1/cot(θ)

8
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Basic Identity: sin²(θ) + cos²(θ)

1 (the most basic one)

9
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Period of sin(θ)

2π

10
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Arithmetic Sequence

a_n = a_1 + (n-1)d

11
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Geometric Sequence

a_n = a_1 r^(n-1)

12
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Logarithm Conversion

log(a*b) = log(a) + log(b)

13
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Logarithmic Change of Base

log_b(a) = log_k(a) / log_k(b) (and vice versa)