Question

What is cos 45 degrees in simplified radical form?​

Answer 1

The value of cos 45 degrees in simplified radical form is 0.70710 approximately.

Solution:

Given, Cos of angle 45 degrees.

We have to find the value of the Cos of 45 degrees in radical form.

From trigonometric ratios,

Cos of angle 45 degrees = cos ⁡45 =
`(1)/(√(2))`

Multiplying numerator and denominator with square root of 2

`\begin{array}{l}{=(1)/(√(2)) * (√(2))/(√(2))} \\\\ {=(1 * √(2))/(√(2) * √(2))} \\\\ {=(√(2))/((√(2))^(2))} \\\\ {=(√(2))/(2)}\end{array}`

The value of square root of 2 is 1.414213

`=(1.414213)/(2)=0.70710`

Hence, the value of Cos of angle 45 degrees is 0.70710 approximately