Question

Awnser ASAP please

Which pair of angles has congruent values for the sin x° and the cos y°? (5 points)


18°; 18°

18°; 162°

18°; 72°

18°; 108°

Answer 1

18;72 is the right answer because x and y have to be complimentary so 18+72=90

Answer 2

18°; 72° are the pair of angles has congruent values for the sin x° and the cos y°.

Option C is correct.

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

`\sin x=\cos(90-x)`

That implies the pair of angles which are complementary has congruent values for the sin x° and the cos y°

Option A: 18°; 18°

`18\°+18\°=36\°`

Not complementary therefore does not have congruent values for the sin x° and the cos y°

Option B: 18°; 162°

`18\°+162\°=180\°`

Not complementary therefore does not have congruent values for the sin x° and the cos y°

Option C: 18°; 72°

`18\°+72\°=90\°`

Complementary therefore has congruent values for the sin x° and the cos y°

Option D: 18°; 108°

`18\°+108\°=126\°`

Not complementary therefore does not have congruent values for the sin x° and the cos y°

Therefore option C is correct.