calculate sec(60°)

⚠ Degrees → radians: multiply by $\frac{\pi }{180}$, so the expression becomes $\sec (\frac{60}{180}·\pi )$

The secant is read as $\sec \left(u\right)=\frac{1}{\cos \left(u\right)}$, on each interval where $\cos \left(u\right)\ne 0$

Let's evaluate: $\frac{1}{\cos (\frac{60}{180}\times \pi )}$

We simplify the fraction: $\frac{60}{180}$ by the common factor: $60$ to get the new fraction: $\frac{1}{3}$

$\frac{1}{\cos (\frac{1}{3}\times \pi )}$

ⓘ The cosine is the x-coordinate (horizontal axis) of the point reached on the unit circle after a rotation of $\frac{1}{3}\times \pi$ radians from the horizontal axis pointing to the right, this is a remarkable value: $\cos (\frac{1}{3}\times \pi )$ = $\frac{1}{2}$

$\frac{1}{\frac{1}{2}}$

ⓘ To divide, multiply by the reciprocal of the divisor: $\frac{1}{\frac{1}{2}}$ = $2$

▶Result:   $2$