How do you tell whether the value of tan 90 degrees is positive, negative, zero or undefined?

1 Answer
Mar 7, 2018

Undefined

Explanation:

We have:

tan90^@tan90

Know that, tantheta=(sintheta)/(costheta)tanθ=sinθcosθ

So here, we get

tan90^@=(sin90^@)/(cos90^@)tan90=sin90cos90

Looking at the trigonometric table, we see that sin90^@=1,cos90^@=0sin90=1,cos90=0.

http://www.omtexclasses.com/2011/06/trigonometric-table.htmlhttp://www.omtexclasses.com/2011/06/trigonometric-table.html

Therefore,

tan90^@=1/0tan90=10

Since anything divided by 00 (except 00 itself) is considered to be undefined, we get that tan90^@tan90 is undefined as well.