SOLUTION: find sin(t) given that sec(t)=-13/5 and tan(t)>0. use exact values not decimal approximations.

Algebra ->  Trigonometry-basics -> SOLUTION: find sin(t) given that sec(t)=-13/5 and tan(t)>0. use exact values not decimal approximations.      Log On


   

Question 1140333: find sin(t) given that sec(t)=-13/5 and tan(t)>0. use exact values not decimal approximations.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(1) cos(t) is the reciprocal of sec(t); use the given value of sec(t) to find the value of cos(t).

(2) Use the Pythagorean Identity to find the magnitude of sin(t).

(3) Use the fact that cos(t) is negative and tan(t) is positive to determine whether sin(t) is positive or negative.