Given (2/3,sqr5/3), compute

Question

Hi! I have a quick question. I know how to solve it for sin and cos, but I'm having trouble with tan. I know that it would be y over x and you have to solve, but I don't know how. Any tips or help?

Answer 1

Yes   x = 2/3 and y = sqrt(5)/3 and T is the angle

 

By pythagorean, the hypotneuse is 1

 

sin  T is sqrt(5)/3

 

cos T is 2/3

 

tan T = y/x = sqrt(5)/2 = sin T / cos T