If the sin 30° = 1 over 2 , then the cos 60° = _____. (1 point)

Question 5 options:

1)

0, because the angles are complementary

2)

1 over 2, because the angles are complementary

3)

square root 3 over 2, because the angles are complementary

4)

1, because the angles are complementary

as a sanity check, you can check the given sin 30° = opposite / hypotenuse 1/2 . We find that this checks out according to the attached picture, so our solution is correct.

Answer Link

tutorconsortium005 tutorconsortium005 · Answer 2 · 2022-06-19T09:46:33+02:00

The sin 30° and cos 60° are complementary angles. So, they have equal values.

How a sine and cosine ratios defined?

In a right-angled triangle ABC, the three sides are opposite(BC), adjacent(AB), and hypotenuse(AC) w.r.t an acute angle A.

The ratios are,

sin A = opposide side length/hypotenuse side length

= BC/AC

cos A = adjacent side length/hypotenuse side length

= AB/AC

If another acute angle C is considered, then the ratios are,

sin C = AB/AC

cos C = BC/AC

From these, sin A = cos C and cos A = sin C

Finding the given ratio:

The given ratio,

sin 30° = 1/2

From the above explanation, we know that sin 30° = cos 60°

So, cos 60° = 1/2

Since they are complementary angles.

Therefore, option 2 is correct.

Learn more about complementary angles here:

https://brainly.com/question/14795654

#SPJ2

If the sin 30° = 1 over 2 , then the cos 60° = _____. (1 point) Question 5 options: 1) 0, because the angles are complementary 2) 1 over 2, because the angles are complementary 3) square root 3 over 2, because the angles are complementary 4) 1, because the angles are complementary

Respuesta :

How a sine and cosine ratios defined?

Finding the given ratio:

Otras preguntas

If the sin 30° = 1 over 2 , then the cos 60° = _____. (1 point)

Question 5 options:

1)

0, because the angles are complementary

2)

1 over 2, because the angles are complementary

3)

square root 3 over 2, because the angles are complementary

4)

1, because the angles are complementary