"How do you find the value of tan⁡90?" solved and explained

Francisca Rodden

Answered question

2021-12-17

How do you find the value of

\tan 90 ?

abonirali59

Beginner2021-12-18Added 35 answers

Explanation:

\sin 90 = 1, \cos 90 = 0

\tan 90 = \frac{\sin 90}{\cos 90} = \frac{1}{0} = \infty

Shannon Hodgkinson

Beginner2021-12-19Added 34 answers

Since the angle is

90^{\circ}

, there will be a unit circle instead of a special triangle. Any point at

90^{\circ}

can be described as

(0, y)

. However, to make things easier to understand, we will use a radius of

1

, meaning the height

(y)

is also

1

. The point will be

(0, 1)

\tan 90 = \frac{y}{x}

\tan 90 = \frac{1}{0}

\tan 90 = undefined

\tan 90

is undefined because you can't divide

1

by nothing.
This is like saying:

1

divided by 0 is

? \Rightarrow ?

multiplied by

0 is 1

Nothing multiplied by 0 will give an answer of 1 , so the answer is undefined.

RizerMix

Expert2021-12-29Added 656 answers

$\tan 90 = Not defined$

Do you have a similar question?

Recalculate according to your conditions!

Didn't find what you were looking for?