Question 989754
.
Recall that {{{sin^2(P)}}} + {{{cos^2(P)}}} = 1.


Let  x = sin(P).


Then 


{{{5x^2}}} = {{{12*(1-x^2)}}}. 


Solve this quadratic equation.


{{{5x^2}}} = {{{12*-12x^2)}}},


{{{17x^2}}} = {{{12}}},


x = +/- {{{sqrt(12/17)}}}.


<B>Answer</B>. &nbsp;sin(P) = +/- {{{sqrt(12/17)}}}.