SOLUTION: Find the exact value of sin theta if, theta = tan inverse (2/3)

Question 838565: Find the exact value of sin theta if, theta = tan inverse (2/3)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the exact value of sin theta if, theta = tan inverse (2/3)
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tan theta=2/3
hypotenuse 0f working right triangle=√(2^2+3^2)=√(4+9)=√13
sin theta=2/√13=2√13/13
check:(w/calculator)
tan x=2/3
x≈33.69˚
sinx=sin33.69˚≈0.5547..
exact value as calculated=2√13/13≈0.5547
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