SOLUTION: Use fundamental identities to find the values of the trigonometric functions (as decimal values within .001) for the given conditions. cos(t) = 0.31 sin(t) > 0

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Question 788067: Use fundamental identities to find the values of the trigonometric functions (as decimal values within .001) for the given conditions.
cos(t) = 0.31
sin(t) > 0

Answer by lwsshak3(11628) About Me  (Show Source):
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Use fundamental identities to find the values of the trigonometric functions (as decimal values within .001) for the given conditions.
cos(t) = 0.31
sin(t) > 0
***
Given data shows reference angle is in quadrant I where both sin and cos>0
sin(t)=√(1-cos^2(t))=√(1-.31^2)=√(1-.096)=√.904=0.951
csc(t)=1/sin(t)=1/.951=1.052
cos(t) = 0.31
sec(t)=1/cos(t)=1/.31)=3.226
tan(t)=sin(t)/cos(t)=.951/.31=3.068
cot(t)=1/tan(t)=1/3.068=0.326