Answer:
[tex]cos \frac{\theta}{2}= 0.894[/tex].
Step-by-step explanation:
Given:
[tex]cos\ \theta= \frac35[/tex]
We need to find [tex]cos \ \frac{\theta}{2}[/tex]
Solution:
[tex]cos\ \theta= \frac35[/tex]
First we will find the value of [tex]\theta[/tex].
Now taking [tex]cos^{-1}[/tex] on both side we get;
[tex]\theta= cos^{-1} \ \frac{3}{5}\\\\\theta = 53.13[/tex]
Now we will find the [tex]\frac{\theta}{2}[/tex].
[tex]\frac{\theta}{2}[/tex] = [tex]\frac{53.13}{2} = 26.565[/tex]
Now we will find [tex]cos \ \frac{\theta}{2}[/tex] we get;
[tex]cos \frac{\theta}{2}=cos\ 26.565 = 0.894[/tex]
Hence [tex]cos \frac{\theta}{2}= 0.894[/tex].
