To fill: What has to be replaced to test whether the graph of a polar equation may be symmetric with respect to line θ = π2 of θ.
Solution:
To test whether the graph of a polar equation may be symmetric with respect to to line θ = π2 instead of π − θ.
Given:
Statement asked the replacement term to test whether the graph of a polar equation may be symmetric with respect to the line θ = π2 instead θ.
Test for symmetry:
Symmetry with respect to the line θ = π2(y − Axis):
In a polar equation, replace θ by π − θ. If an equivalent equation results, the graph is symmetric with respect to the line θ = π2.
Precalculus
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus and Its Applications (11th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Glencoe Math Accelerated, Student Edition