I need help with this big problem 1-6 . Could you explain step by step for these questions please and thank you .

D =90 Jerry 2022 Home Zoom Announcements Modules Syllabus Discussions Grades NetTutor From your geometry class, you know that the tangent line to a circle is perpendicular to the radius at the point of Chat tangency. In the picture above, the circle is centered at the origin, C is the point of tangency, radius AC is Student Connect perpendicular to the tangent line DC. Point D is the intersection of the tangent line at C with the x-axis. LAVC Library In the following problem we will assume we have a unit circle ( ite., circle of radius one) centered at the origin. This means the equation of the circle is a? + y= 1. LAVC Tutoring 1. Using the above theorem, write the equation of the tangent line to the unit circle at point C whose coordinates are Collaborations (-4, "2). (It's a good habit to verify that C lies on the circle). Course Evaluation 2. Find the coordinates of the point D where the above tangent line intersects the x-axis. Next, you will do the same problem but for an arbitrary point C on the unit circle, excluding the north and south poles. Let C.(Jo, V/0) be the coordinates of the point C on the unit circle, and notice that ro + yo = 1. 3. Using the above theorem, write the equation of the tangent line to the unit circle at point C whose coordinates are (Jo, V/0). (C is not the north or south pole). 4. Find the coordinates of the point D where the above tangent line intersects the x-axis. 5. Verify that your numerical answers in part 1 and 2 are consistent with the general formulas you just derived in parts 3 and 4. 6. Why and where did we need to exclude the north and south poles from this derivation? MacBook Air 6 O W R O P A S D F G H J K X C N M