SOLUTION: Given sin theta = 21/29 and sec theta < 0, find tan theta and determine in which quadrant theta lies.

Question 912184: Given sin theta = 21/29 and sec theta < 0, find tan theta and determine in which quadrant theta lies.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given sin theta = 21/29 and sec theta < 0, find tan theta and determine in which quadrant theta lies.
----------------
sin is positive and sec negative in QII where x < 0 and y > 0
======================
By definition sin = y/r
Since sin = 21/29, y = 21 and r = 29
------------------
Then x = -sqrt[29^2-21^2] = -sqrt(400) = -20
-----
sin = y/r = 21/29
cos = x/r = -20/29
tan = y/x = -21/20
-----
csc = 20/21
sec = -29/20
cot = -20/21
=================
Cheers,
Stan H.
--------------
RELATED QUESTIONS
determine the quadrant in which theta lies if sec of theta<0 and tan of... (answered by drk)

given angle theta is in the 1st quadrant,and tan theta equals 5/12, find sin theta cos... (answered by lwsshak3)

if sec(theta)=5/3 and theta lies in quadrant i, find... (answered by Alan3354)

If the theta lies in quadrant 2 and sin theta equals 1/5, find sec... (answered by Alan3354)

you are given cot theta = -1/2 and sin theta >0. Find other functions and give exact... (answered by lwsshak3)

Find exact values. Supose sec(theta)=-7 and sin(theta)<0 Determin which quadrant theta... (answered by stanbon)

if sin(theta)=7/25 and theta in second quadrant find the value of sec(... (answered by lwsshak3)

If sin (theta)=3/7, And Theta¸ Is In Quadrant II, Then Find cos (theta)= tan... (answered by MathLover1,MathTherapy)

If cos theta- sin theta =0 and theta lies in the first quadrant then find the values... (answered by ikleyn)