Question

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

Answer 1

`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`