Question

What is the value of cos30

Answer 1

Answer:

os 30 degrees is written as cos 30° and has a value in fraction form as √3/2.

Cos 30° = √3/2

Cos 30° = √3/2 is an irrational number and equals to 0.8660254037 (decimal form).

Therefore, the exact value of cos 30 degrees is written as 0.8660 approx.

Step-by-step explanation:

n triangle AOB,

AO 2 = AB2 + AB2

Hypotenuse = d

Opposite side = d/2

d2 = (d/2)2 + AB2

d2 = d2/4 + AB2

d2 – d2/4 = AB2

(4d2 – d2)/4 = AB2

3d2/4 = AB2

Sqrt (3) x d/2 = AB

AB/d = √(3) / 2

As d is the length of the opposite side, so

Length of adjacent / length of hypotenuse = √3 / 2

The value of angle BOA in the given right triangle is pi/6 and the given ratio as per the definition of cosine ratio represents the value of Cos 30 degrees

Cos 30° =Length of adjacent/length of hypotenuse = √3/2 = 0.8660254037

Answer 2

Answer:

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