Question

can cos30°>cos3° ? give reason​

Answer 1

Answer:

No

Step-by-step explanation:

because the value is not different

Answer 2

can cos30°>cos3° ?

Given,

cos 30°

As we know the value of cos 30°, as this is a standard one.

cos 30° = √3/2

cos 30° = 0.8666  ........(1)

Now consider,

cos 3°

cos 3°  = 0.9986 ..........(2)

comparing (1) and (2), we get,

cos 3° > cos 30°

as 0.9986 > 0.8666

The reason is that, the cosine function is a decreasing function.

Proof:

cos 0° = 1

cos 30° = √3/2 = 0.8666

cos 45° = 1/√2 = 0.7071

cos 60° = 1/2 = 0.5

cos 90° = 0