Mathematical Love letter

I discovered a letter written by one of the maths students to a girl at a secondary school. Here is what the guy wrote...

Dear Cynthia,

With reference to the syllabus of my feelings, I want to prove that the locus of my point is directly proportional to your heart. On seeing you, I feel like a triangle with only 2 angles, the third one being you.

At times I feel like a circle without a circumference and a tangent without a gradient. We are like two simultaneous equations without solutions. You never seem to notice that I am a point lying at your linear equation. Your smile make my mind rotate 360 degrees anticlockwise and applying a translation, I finally get your image.

You are factors of a quadratic equation but still feel two disjoint sets. You are the hypotenuse of my right angled triangle and on using either sine or cosine, we can obtain a real solution. I tried to deal with you on a calculator version but the probability of success is very low.

My letter consists of only one section to be answered without a calculator and the answer is to be given "Yes" in three significant figures. My life without you is like coordinates of a quadratic turning point. My love for you is infinite like the graph of Tan 90 and Tan 270 degrees.

Yours Mathematical
Xxxx