Apply the formula :
[tex] sin(90 - x) = cos(x) [/tex]
We are given :
sin(x+16)°=cos(2x+14)°
So comparing we have,
[tex] 90 - (x+16) = 2x +14 [/tex]
distributing - over the bracket
[tex] 90 - x-16 = 2x +14 [/tex]
bringing like terms together,
[tex] 90 - 14-16 = 2x +x [/tex]
[tex] 60=3x [/tex]
Dividing both sides by 3,
x =20
Answer : x=20
