How to Find Cosine from Secant Using Trig Identities?

[courtbits]

If $$\cos(\pi/3)= \frac{1}{2}$$, find $$\sec(\pi-\pi/3)$$

Someone really give me step-by-step explanation.
I really don't know what identity to use, and no idea how to get cosine to secant.
Please, it would help. I do have more questions if you help me dissect this problem. XD
Thanks so much in advance!

 

[Prove It]

If $$\cos(\pi/3)= \frac{1}{2}$$, find $$\sec(\pi-\pi/3)$$

Someone really give me step-by-step explanation.
I really don't know what identity to use, and no idea how to get cosine to secant.
Please, it would help. I do have more questions if you help me dissect this problem. XD
Thanks so much in advance!

No idea how to get cosine from secant? By DEFINITION the secant is the reciprocal of the cosine...

$\displaystyle \begin{align*} \frac{1}{\cos{(x)}} \equiv \sec{(x)} \end{align*}$

 

[courtbits]

No idea how to get cosine from secant? By DEFINITION the secant is the reciprocal of the cosine...

$\displaystyle \begin{align*} \frac{1}{\cos{(x)}} \equiv \sec{(x)} \end{align*}$

Ok..