Question

can any help with this problem!! i have tried everything and i cnt figure it out. i already have the coordinates its the last 3 problems i cn't figure out

Answer 1

what did you get for the coordinates of Q and Q' ?

Answer 2

for Q i got(r costheta,r sin theta,) for Q'(r, r tan theta)

Answer 3

Area of a triangle is 1/2 base * height. the y-coordinate of Q is the height for triangle OPQ. the base is OP (= r)

Same idea for triangle OPQ'

Answer 4

So you can do (i) ?

Answer 5

yea i can try to figure it out now that i have a little better understanding. how would i explain the inequalities?

Answer 6

What is the area of triangle OPQ?

Answer 7

i got r^2cos theta/2

Answer 8

i ment r^2sintheta/2

Answer 9

What's the y-value of Q?

Answer 10

OK. now the area of triangle OPQ' ?

Answer 11

i got r^2tanthetha/2

Answer 12

so that is part (i)
for part ii, I think N >=5 makes more sense. Let's use N=8 as an example.

Answer 13

ok