Answer:
x = 35°
Step-by-step explanation:
Given : [tex]\sin 55^{\circ}=\cos x[/tex]
We have to solve for x.
Consider
[tex]\sin 55^{\circ}=\cos x[/tex]
We know the relation,
[tex]\sin (90^{\circ}-\theta)=\cos \theta[/tex] .....(1)
also [tex]\sin 55^{\circ}[/tex] can be written as
[tex]\sin 55^{\circ}=\sin(90^{\circ}-35^{\circ})[/tex] .....(2)
Comparing the two equations (1) and (2) , we have,
[tex]\sin (90^{\circ}-35^{\circ})=\cos 35^{\circ}[/tex]
Thus, x = 35°
