SOLUTION: find the exact value of each expression 21) cot [inverse sin negative root 2 over 3]

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Question 709119: find the exact value of each expression
21) cot [inverse sin negative root 2 over 3]
Answer by lwsshak3(11628) About Me  (Show Source):
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find the exact value of each expression
21) cot [inverse sin negative root 2 over 3]
Inverse sin(-√2/3) means you are working with a right triangle where:
opposite side=-√2
hypotenuse=3
therefore, adjacent side=√(3^2-(√2)^2)=√(9-2)=√7
cot=adjacent side/opposite side=-√(2/7)