Respuesta :
18;72 is the right answer because x and y have to be complimentary so 18+72=90
Answer:
18°; 72° are the pair of angles has congruent values for the sin x° and the cos y°.
Option C is correct.
Step-by-step explanation:
Given the pair of angles
we have to choose the pair which has congruent values for the sin x° and the cos y°
As all the trigonometric ratios are positive in first quadrant and
[tex]\sin x=\cos(90-x)[/tex]
That implies the pair of angles which are complementary has congruent values for the sin x° and the cos y°
Option A: 18°; 18°
[tex]18\°+18\°=36\°[/tex]
Not complementary therefore does not have congruent values for the sin x° and the cos y°
Option B: 18°; 162°
[tex]18\°+162\°=180\°[/tex]
Not complementary therefore does not have congruent values for the sin x° and the cos y°
Option C: 18°; 72°
[tex]18\°+72\°=90\°[/tex]
Complementary therefore has congruent values for the sin x° and the cos y°
Option D: 18°; 108°
[tex]18\°+108\°=126\°[/tex]
Not complementary therefore does not have congruent values for the sin x° and the cos y°
Therefore option C is correct.
