Question 1151302


 {{{f(x)=6sin( x)}}} find {{{f(315(degrees))}}}

{{{f(315(degrees))}}} =>{{{x=315(degrees)}}}


 {{{f(x)=6sin( 315)}}}


On the trig unit circle, {{{sin(315) = sin (-45 + 360) = sin (-45) = - sin (45) =-sqrt(2)/2}}}

Trig table gives -> {{{sin(315)= -sin(45)=-sqrt(2)/2}}}

{{{ f(x)=6(-sqrt(2)/2)}}}

{{{ f(x)=cross(6)3 ( -sqrt(2)/cross(2))}}}

 {{{f(x)= -3sqrt(2)}}}