SOLUTION: Given sec(theta)=10 and 3pi/2 < or equal to theta < or equal to 2pi, find the exact numerical value of sin(theta).

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Question 820434: Given sec(theta)=10 and 3pi/2 < or equal to theta < or equal to 2pi, find the exact numerical value of sin(theta).
Answer by lwsshak3(11628) About Me  (Show Source):
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Given sec(theta)=10 and 3pi/2 < or equal to theta < or equal to 2pi, find the exact numerical value of sin(theta)
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theta is in quadrant IV where sin<0
sec(theta)=1/cos(theta)
cos(theta)=1/10
sin(theta)=-√(1-cos^2(theta))=-√(1-(1/10)^2)=-√(1-(1/100))=-√(99/100)=-√99/10=-9√11/10