Question

How do you calculate sec 45?

Answer 1

`Sec 45° = (sqrt2)/1 = sqrt2`

Explanation:

A 45° angle is found in a right-angled isosceles triangle.
The sides of the triangle will be in the ratio `1 : 1 : sqrt2`

There are six trig ratio's,

Sec is defined as `"hypotenuse"/"adjacent"`

Sec is also the inverse of Cos.

`cos 45° = 1/sqrt2`

`Sec 45° = (sqrt2)/1 = sqrt2`