SOLUTION: PLEASE HELP! Find two points of intersection of the: 4-petal rose given by: r=sin2theta , r=cos2theta BY Symmetry other points of intersection are? GIVEN-> (0.707,___) ?

Algebra ->  Trigonometry-basics -> SOLUTION: PLEASE HELP! Find two points of intersection of the: 4-petal rose given by: r=sin2theta , r=cos2theta BY Symmetry other points of intersection are? GIVEN-> (0.707,___) ?       Log On


   



Question 1030846: PLEASE HELP! Find two points of intersection of the: 4-petal rose given by: r=sin2theta , r=cos2theta
BY Symmetry other points of intersection are?
GIVEN-> (0.707,___) ?

Answer by ikleyn(52921) About Me  (Show Source):
You can put this solution on YOUR website!
.
PLEASE HELP! Find two points of intersection of the: 4-petal rose given by: r=sin2theta , r=cos2theta
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The equation to determine the intersection points is

sin%282theta%29 = cos%282theta%29.


It gives 

tan%282theta%29%29%29 = 1 

and hence 

2%2Atheta = pi%2F4  and/or  2%2Atheta = 3pi%2F4.

Then theta = pi%2F8  and/or  theta = 3pi%2F8.

Can you complete it yourself from this point?