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

Algebra.Com
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)   (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.

RELATED QUESTIONS

Suppose sin t = 6/7 and cos t < 0. Find each of the following (exact values): cos (answered by solver91311)
Find the exact value of tan(t) given that sin(t) = −0.7 and cos(t) <... (answered by stanbon)
If cos(t) = -2/3, and t is in quadrant III, find the exact values of sin(t), sec(t),... (answered by MathLover1,math_tutor2020)
Hi, I have 2 questions, Im so coonfused. 1) Let P be the point on the unit circle (answered by edjones)
Find tan t given that sin t=3/5 and cot t <... (answered by josmiceli,stanbon,MathTherapy)
Suppose sin t = 4 7 and cos t < 0. Find each of the following (exact values):... (answered by stanbon)
Suppose sin t = 4/7 and cos t < 0. Find each of the following (exact values):... (answered by josgarithmetic,MathTherapy)
suppose sin t=2/7 and cos t < 0. find each of the following values: cos t, tan t, csc t,... (answered by lwsshak3)
Find the values of the trigonometric functions of t from the given information. tan t =... (answered by fcabanski,lwsshak3)