Question

How would you find the exact value of the six trigonometric function of 45 degrees?

Answer 1

See explanation.

Explanation:

An angle of `45^o` can be found in a unit square divided by its diagonal. The catheti of this right triangle are `1` unit long, the hypotenuse is `sqrt(2)/2` units long, so:

`sin 45^o=cos45^o=a/c=sqrt(2)/2`

`tan45^o=cot45^o=a/a=1`

`sec45^o=csc45^o=c/a=sqrt(2)`