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25 Cards in this Set

  • Front
  • Back

sin (π / 6)

1 / 2

sin (π / 4)

sqrt(2) / 2

sin (π / 3)

sqrt(3) / 2

cos (π / 6)

sqrt(3) / 2

cos (π / 4)

sqrt(2) / 2

cos (π / 3)

1 / 2

Law of Sines

(sinA / a) = (sinB / b) = (sinC / c)

Law of Cosines

c^2 = a^2 + b^2 - 2ab cos C


b^2 = a^2 + c^2 - 2ac cos B


a^2 = b^2 + c^2 - 2bc cos A

polar coordinate

(r, θ)

How to graph a polar coordinate?

Find θ first and then apply r.

polar equation of y

r sin θ

polar equation of x

r cos θ

polar equation of r^2

r^2 = x^2 + y^2

polar equation of tan θ

y / x

How to graph a negative r?

Apply the distance in the opposite direction.

In the polar graph of tan θ, if x ≠ 0, when do you add π to θ?

for points in Quadrant II and III

graph of y = a

horizontal line

graph of x = a

vertical line

center-radius form of the circle equation

(x - h)^2 + (y - k)^2 = r^2,


center at (h, k)

Completing the Square formula

x^2 +/- bx + (b / 2)^2

Test for Symmetry with Respect to the Polar Axis

Replace θ by -θ.

Test for Symmetry with Respect to


the Line θ =π / 2

Replace θ byπ -θ.

Test for Symmetry with Respect to the Pole

Replace r by -r orθ byθ +π.

sin(-θ) = ?

-sin(θ)

cos(-θ) = ?

cos(θ)