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18-06-2016
Mathematics

Answered

If cot(θ)=

5

12

and 0°<θ<90°, what is sin(θ)?

Verified Answer :

18-06-2016

using,
1+cot^2 x = csc^2 x
1+ (5/12)^2 = csc^2 x
1+25/144 = csc^2 x = (144+25)/144 = 169/144
csc x = sqrt (169/144) = 13/12

sin x = 1/ csc x = 1/(13/12) = 12/13 is your answer :)

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