Respuesta :

hello :
by identity :
sin(x)° =cos(90-x)° 
solve :  sin(x+16)°=cos(2x+14)°
            cos(90-(x+16))°= 
cos(2x+14)°
            cos (74-x)°= cos(2x+14)°
74-x =2x+14+360k.......(1)
          or

74-x =- (2x+14)+360k' ......(2)
find x with (1) and (2)

Answer:

the answer is x = 20

hope this helps