SOLUTION: If sin qita = 1/3 , the find the value of 2 cot^2 qita + 2

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Question 768857: If sin qita = 1/3 , the find the value of 2 cot^2 qita + 2
Answer by lwsshak3(11628) About Me  (Show Source):
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If sin qita = 1/3 , the find the value of 2 cot^2 qita + 2
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use x for qita
sin x=1/3
cos x=√(1-sin^2x)=√(1-1/9)=√(8/9)=√8/3
cot x=cos x/sin x=1/√8
cot^2 x=1/8
2 cot^2 x+2=x=1/4+2=9/4