Question

$\cos \left(-\theta \right)-\cos \left(\theta \right)$

Short answer

The answer of$\cos \left(-\theta \right)-\cos \left(\theta \right)is0$

Step-by-step solution

Given information

We are given an equation$\cos \left(-\theta \right)-\cos \left(\theta \right)$

Use the properties of even and odd function

We know that cosine is an even function

Hence $\cos \left(-\theta \right)=\cos \left(\theta \right)$

And therefore

$$\begin{gathered} \cos \left(-\theta \right)-\cos \left(\theta \right) \\ \cos \left(\theta \right)-\cos \left(\theta \right) \\ =0 \end{gathered}$$

Conclusion

The value of$\cos \left(-\theta \right)-\cos \left(\theta \right)is0$