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Question #cb1e2

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Sahar Mulla ❤

Feb 25, 2018

Given #sin theta =12/13#

We know, #sintheta= ("opposite side")/("hypotenuse")#

Therefore, #"opposite side"=12# and #"hypotenuse"=13#

so the third side, #x# can be found by applying Pythagoras theorem.

i.e. #("hypotenuse")^2=("opposite side")^2+x^2#
#x^2=13^2 -12^2 = 169-144 = 25#
#x=5# units.

Now, #costheta=("adjacent side")/("hypotenuse")#
#costheta=5/13#

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