Question

Use algebraic methods to find as many intersection points of the following curves as possible. Use graphical methods to identify the remaining intersection points.
r = 5 sinθ and r = 5 cosθ

Answer 1

Answer:

Step-by-step explanation:

r =5sin i

r=5 cos i

divide

tan i=1=tan (π/4),tan(π+π/4)

or tan i=tan (π/4),tan(5π/4)

or  tan i=tan (2n π+π/4),tan (2nπ+5π/4)

or tan i=tan ((8n+1)π/4),tan((8n+5)π/4)

i=(8n+1)π/4,(8n+5)π/4

where n is an integer.

so we get infinite points of intersection.