Respuesta :

Answer: ∠A=45° & ∠B=45°

Step-by-step explanation:

In triangle ABC, all angles are less than 180° but their sum is 180°

For the trigonometric statements  

sin(A)=cos(B)

sin(B)=cos(A)

These are true when these angles that are A and B are equal and on these angles the sin and cos value must be same.

Hence, both angles are of 45°