SOLUTION: find csc(theta), given that cos(theta)=(-(√2/2)) and cot(theta)=1

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Question 758863: find csc(theta), given that cos(theta)=(-(√2/2)) and cot(theta)=1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find csc(theta), given that cos(theta)=(-(√2/2)) and cot(theta)=1
Given data shows angle theta is in quadrant III where cos and sin<0, and cot>0
cot(theta)=1
theta=225º
reference angle=45º
sin(theta)=sin225º=-√2/2
csc(theta)=1/sin(theta)=-2/√2=-√2