if sin theta=1/3 then cos theta=
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sinθ=opphyp, in this case 13.
Given these values, we can work out the adj side of our imaginary triangle to work out cosθ which equals adjhyp.
adj=√hyp2−opp2−√32−12=√8
cosθ=adjhyp=√83.
Another way we can work this out is using the trigonometric identity:
sin2A+cos2A≡1
cosA≡√1−sin2A
cosθ=√1−(13)2=√8/9=√8/3
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