SOLUTION: (Trigonometric identities) Find the value of each expression using the given information. 10) cot x and sec x; sin x = 1/3, tan x

SOLUTION: (Trigonometric identities) Find the value of each expression using the given information. 10) cot x and sec x; sin x = 1/3, tan x < 0

Question 930069: (Trigonometric identities)
Find the value of each expression using the given information.
10) cot x and sec x; sin x = 1/3, tan x < 0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the value of each expression using the given information.
10) cot x and sec x; sin x = 1/3, tan x < 0
***
reference angle x is in quadrant II where sin>0, cos<0
sinx=1/3
cosx=-√(1-cos^2(x))=-√(1-1/9)=-√(8/9)=-√8/3
secx=1/cosx=-3/√8=-3√8/8
tanx=sinx/cosx=-1/√8=-√8/8
cotx=-√8
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