In this exercises use the given information about to find th

In this exercises use the given information about to find the exact values of sin (2)

tan( )=12/5 where pi<<pi/2

pi/2<<pi

=> 2pi/2<2<2pi

=> pi<2<2pi

tan( )=opposite side /adjacent side =12/5

by pythogorus theorem hypotenuse²=opposite side²+adjacent side²

hypotenuse²=12²+5²

hypotenuse²=169

hypotenuse=13

=>sin( )=opposite side /hypotenuse=-12/13 ,cos( )=adjacent side /hypotenuse=-5/13

sin( 2)

=2sin( )cos( )

=2(-12/13)(-5/13)

=120/169

sin( 2)=120/169