In right triangle POR, P and Q are acute angles, and cos P is 3/5. What is sin Q?

1 Answer
Alan P.
Nov 21, 2016

sin(Q)=cos(P)=3/5

Explanation:

cos(P)= ("side adjacent to "P)/("hypotenuse")

~~~~~~~~~~~~~~~~~~~~~~~~~

sin(Q)=("side opposite "Q)/"hypotenuse"

color(white)("XXX")=("side adjacent to "P)/("hypotenuse")

color(white)("XXX")=cos(P)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

and we are told cos(P)=3/5

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