Respuesta :
Answers:
∠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°
The angles that make the trigonometric statements true are
[tex]\rm \angle A=\angle B=45^\circ[/tex]
Trignometry helpd in the determination of the angle of the triangle with the sides of the triangle. To calculate the angle, the sum of the traingle is known to be 180.
Given :
Triangle ABC.
Solution :
If [tex]\rm sin(A)=cos(B)[/tex]
and [tex]\rm sin(B) = cos(A)[/tex]
than both angle A and angle B are equal and
[tex]\rm \angle A=\angle B=45^\circ[/tex]
Therefore, the angles that make the trigonometric statements true are
[tex]\rm \angle A=\angle B=45^\circ[/tex]
For more information, refer the link given below
https://brainly.com/question/19731462
