answersLogoWhite

0

The definition, in terms of the sides of a right angled triangle, is very restrictive since it defines tangent only for angles in the interval (0, pi/2) radians = (0, 90) degrees. However, the function is actually defined for all numbers.


So, the tangent of an angle is best defined by the ratio of the sine and cosine of the angle for any angle other than an odd multiple of pi/2.

If the angle is x radians, then

sin(x) = x - x^3/3! + x^5/5! - x^7/7! + ...

cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...

and then

tan(x) = sin(x)/cos(x).


User Avatar

Wiki User

9y ago

Still curious? Ask our experts.

Chat with our AI personalities

FranFran
I've made my fair share of mistakes, and if I can help you avoid a few, I'd sure like to try.
Chat with Fran
ViviVivi
Your ride-or-die bestie who's seen you through every high and low.
Chat with Vivi
EzraEzra
Faith is not about having all the answers, but learning to ask the right questions.
Chat with Ezra

Add your answer:

Earn +20 pts
Q: What is tangent of the angle?
Write your answer...
Submit
Still have questions?
magnify glass
imp