SOLUTION: A function value and a quadrant are given. Find the other five functions values. Give exact answers. sin(theta)= -1/3, Quadrant IV I need cos(theta), tan(theta), csc(thet

Algebra ->  Trigonometry-basics -> SOLUTION: A function value and a quadrant are given. Find the other five functions values. Give exact answers. sin(theta)= -1/3, Quadrant IV I need cos(theta), tan(theta), csc(thet      Log On


   



Question 839980: A function value and a quadrant are given. Find the other five functions values. Give exact answers.
sin(theta)= -1/3, Quadrant IV


I need cos(theta), tan(theta), csc(theta), sec(theta), cot(theta)

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A function value and a quadrant are given. Find the other five functions values. Give exact answers.
sin(theta)= -1/3, Quadrant IV
..
adjacent side of reference right triangle in quadrant IV =√(3^2-1^2)=√(9-1)=√8
cos(theta)=√8/3
tan(theta)=-1/√8=-√8/8
cot(theta)=-√8
sec(theta)=3/√8=3√8/8
csc(theta)=-3