Answer:
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 = [tex]\frac{1}{\sqrt{2}}[/tex]
Multiplying numerator and denominator with square root of 2
[tex]\begin{array}{l}{=\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}} \\\\ {=\frac{1 \times \sqrt{2}}{\sqrt{2} \times \sqrt{2}}} \\\\ {=\frac{\sqrt{2}}{(\sqrt{2})^{2}}} \\\\ {=\frac{\sqrt{2}}{2}}\end{array}[/tex]
The value of square root of 2 is 1.414213
[tex]=\frac{1.414213}{2}=0.70710[/tex]
Hence, the value of Cos of angle 45 degrees is 0.70710 approximately
