SOLUTION: find the exact value of sec theta and cot theta let be an angle in quadrant IV such that sin theta= -3/5

Algebra.Com
Question 681748: find the exact value of sec theta and cot theta let be an angle in quadrant IV such that sin theta= -3/5
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
find the exact value of sec theta and cot theta let be an angle in quadrant IV such that sin theta= -3/5
----
If sin(theta) = -3/5 in QIV, then y = -3 and r = 5
----
Solve for "x":
x^2 = r^2-y^2
x^2 = 25-9 = 16
x = 4
-------
So,
sec theta in QIV = r/x = 5/4
And
cot theat = QIV = x/y = -4/3
==================================
Cheers,
Stan H.
=========================

RELATED QUESTIONS

Let theta be an angle in quadrant IV such that sin(theta) = -8/9. Find the exact... (answered by Boreal)
Let theta be an angle in quadrant 2. such that cot theta= -5/12. Find the exact values of (answered by lwsshak3)
Let (theta) be an angle in quadrant II such that sin(theta)= 4/5. Find the exact values... (answered by lwsshak3,Alan3354)
Let theta be an angle in quadrant 2 such that sec theta=-5/4. Find the exact values of... (answered by stanbon)
let theta be angle in quadrant II such that sec(theta)=-10/7. Find the exact values of... (answered by lwsshak3,Theo)
Let theta be an angle in quadrant IV such that cos theta = 12/13. Find the exact values... (answered by mananth)
Let theta be an angle in quad III such that sec theta = -13/5. Find the exact values of... (answered by stanbon)
Let theta be an angle in quadrant IV such that cos(theta) = 4/7 find exact values of csc... (answered by Alan3354)
Let theta be an angle in quadrant 2 such that sin theta = 4/9. Find the exact values of... (answered by Alan3354)