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Complete the missing ordered pairs in the graphs below. (a) (b) (c) (r. 0) (r. 0) (r. 0) T+0 Based on your results in Exercise 67, fill in the blanks with the correct responses. (a) The graph of r = {(0) is symmetric with respect to the polar axis if substitution of. - for 0 leads to an equivalent equation. (b) The graph of r = S(0) is symmetric with respect to the vertical line 0= if substitution of . - for 0 leads to an equivalent equation. (c) Alternatively, the graph of r = f(0) is symmetric with respect to the vertical line 0 = if substitution of . an equivalent equation. (d) The graph of r - (0) is symmetric with respect to the pole if substitution of for r and. for 0 leads to . for r leads to an equivalent equation. (e) Alternatively, the graph of r = f(0) is symmetric with respect to the pole if substitution of . (f) In general, the completed statements in parts (a)–(e) mean that the graphs of polar equations of the form r = a ± b cos 0 (where a may be 0) are symmetric with respect to . (g) In general, the completed statements in parts (a)-(e) mean that the graphs of polar equations of the form r = a ± b sin 0 (where a may be 0) are symmetric with respect to - for 0 leads to an equivalent equation.

Complete the missing ordered pairs in the graphs below. (a) (b) (c) (r. 0) (r. 0) (r. 0) T+0 Based on your results in Exercise 67, fill in the blanks with the correct responses. (a) The graph of r = {(0) is symmetric with respect to the polar axis if substitution of. - for 0 leads to an equivalent equation. (b) The graph of r = S(0) is symmetric with respect to the vertical line 0= if substitution of . - for 0 leads to an equivalent equation. (c) Alternatively, the graph of r = f(0) is symmetric with respect to the vertical line 0 = if substitution of . an equivalent equation. (d) The graph of r - (0) is symmetric with respect to the pole if substitution of for r and. for 0 leads to . for r leads to an equivalent equation. (e) Alternatively, the graph of r = f(0) is symmetric with respect to the pole if substitution of . (f) In general, the completed statements in parts (a)–(e) mean that the graphs of polar equations of the form r = a ± b cos 0 (where a may be 0) are symmetric with respect to . (g) In general, the completed statements in parts (a)-(e) mean that the graphs of polar equations of the form r = a ± b sin 0 (where a may be 0) are symmetric with respect to - for 0 leads to an equivalent equation.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section: Chapter Questions
Problem 4GP
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Complete the missing ordered pairs in the graphs below. (b) (a) (c) (r. 0) (r, 0) (r, 0) T +0 -- Based on your results in Exercise 67, fill in the blanks with the correct responses. (a) The graph of r = f(8) is symmetric with respect to the polar axis if substitution of . - for 0 leads to an equivalent equation. (b) The graph of r = f(0) is symmetric with respect to the vertical line 0 = if substitution of (c) Alternatively, the graph of r = f(0) is symmetric with respect to the vertical line 0 = if substitution of - an equivalent equation. (d) The graph of r = f(8) is symmetric with respect to the pole if substitution of for 0 leads to an equivalent equation. for r and. for 0 leads to - for r leads to an equivalent equation. (e) Alternatively, the graph of r = f(0) is symmetric with respect to the pole if substitution of. for 0 leads to an equivalent equation. (f) In general, the completed statements in parts (a)-(e) mean that the graphs of polar equations of the form r = a + b cos 0 (where a may be 0) are symmetric with respect to - (g) In general, the completed statements in parts (a)-(e) mean that the graphs of polar equations of the form r = a ± b sin 0 (where a may be 0) are symmetric with respect to .
Transcribed Image Text:Complete the missing ordered pairs in the graphs below. (b) (a) (c) (r. 0) (r, 0) (r, 0) T +0 -- Based on your results in Exercise 67, fill in the blanks with the correct responses. (a) The graph of r = f(8) is symmetric with respect to the polar axis if substitution of . - for 0 leads to an equivalent equation. (b) The graph of r = f(0) is symmetric with respect to the vertical line 0 = if substitution of (c) Alternatively, the graph of r = f(0) is symmetric with respect to the vertical line 0 = if substitution of - an equivalent equation. (d) The graph of r = f(8) is symmetric with respect to the pole if substitution of for 0 leads to an equivalent equation. for r and. for 0 leads to - for r leads to an equivalent equation. (e) Alternatively, the graph of r = f(0) is symmetric with respect to the pole if substitution of. for 0 leads to an equivalent equation. (f) In general, the completed statements in parts (a)-(e) mean that the graphs of polar equations of the form r = a + b cos 0 (where a may be 0) are symmetric with respect to - (g) In general, the completed statements in parts (a)-(e) mean that the graphs of polar equations of the form r = a ± b sin 0 (where a may be 0) are symmetric with respect to .
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