SOLUTION: Given sinθ= - 3/5 and cscθ= -5/3 in quadrant III, find the value of other trigonometric functions using a Pythagorean Identity. Show your work. Find the value of cos&#9

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Given sinθ= - 3/5 and cscθ= -5/3 in quadrant III, find the value of other trigonometric functions using a Pythagorean Identity. Show your work. Find the value of cos&#9      Log On


   

Question 1108271: Given sinθ= - 3/5 and cscθ= -5/3 in quadrant III, find the value of other trigonometric functions using a Pythagorean Identity. Show your work.
Find the value of cosθ, secθ and tanθ.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The rotating vector is +5+ units
The vertical component is +-3+
The horizontal component will be:
+-sqrt%28+5%5E2+-+3%5E2+%29+
+-sqrt%28+25+-+9+%29+
+-sqrt%28+16+%29+
+-4+
---------------------------------
+cos%28+theta+%29+=+%28-4%29+%2F+5+
+sec%28+theta+%29+=+5+%2F+%28-4%29+
+tan%28+theta+%29+=+%28+-3+%29+%2F+%28+-4+%29+
+tan%28+theta+%29+=+3%2F4+