Pre Calculus Study Guide

what is the form of the polar point?

• (theta, r)

• (x, y)

• (r, theta)

• (x, theta)

x^2+y^2=?

• sin(theta)

• r

• x

• y^2

which polar graph is this equation?

r=a+-acos(theta), a>0

r=a+-asin(theta), a>0

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Which polar graph is this equation?

r=a+-bcos(theta) 0<b<a

r=a+-bsin(theta) o<b<a

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What type of polar equation is of this equation?

r=a+-bcos(theta) 0<a<b

r=a+-bsin(theta) 0<a<b

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which polar graph?

r^2=a^2cos(2theta) a>0

r^2=a^2sin(2theta) a>0

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Which polar graph?

r=asin(ntheta) a>0

• limacon w/o inner loop

• rose

• lemniscate

• cardioid

r=asin(ntheta)

n odd -> ?

n even -> ?

• n petals, n/2 petals

• n petals, 2n petals

• 2n petals, n petals

• 3n petals, n petals

to show symmetry about the x-axis, replace (r, theta) with ?

• (r, theta) or

  (-r, theta)

• (r, theta+pi) or

  (-r, theta)

• (-r, pi-theta) or

  (r, -theta)

• (-r, -theta) or

  (r, pi-theta)

to show symmetry about the y axis, replace (r, theta) with...?

• (r, theta) or

  (-r, theta)

• (-r, theta) or

  (r, pi-theta)

• (-r, pi-theta) or

  (r, -theta)

• (r, theta+pi) or

  (-r, theta)