Question

If θ is an angle in standard position that terminates in Quadrant IV such that cosθ = 3/5, then cosθ/2 = _____. -

Answer 1

Answer:

$cos \frac{\theta}{2}= 0.894$.

Step-by-step explanation:

Given:

$cos\ \theta= \frac35$

We need to find $cos \ \frac{\theta}{2}$

Solution:

$cos\ \theta= \frac35$

First we will find the value of $\theta$.

Now taking $cos^{-1}$ on both side we get;

$\theta= cos^{-1} \ \frac{3}{5}\\\\\theta = 53.13$

Now we will find the $\frac{\theta}{2}$.

$\frac{\theta}{2}$ = $\frac{53.13}{2} = 26.565$

Now we will find $cos \ \frac{\theta}{2}$ we get;

$cos \frac{\theta}{2}=cos\ 26.565 = 0.894$

Hence $cos \frac{\theta}{2}= 0.894$.