Question

Tan 90° = undefined.how will i write in my answer ​

Answer 1

Answer:

Tan 90° = 1/0 = Not defined/Undefined.

Step-by-step explanation:

We know :-

Sin 0° = 0

Sin 30° = 1/2

Sin 45° = 1/√2

Sin 60° = √3/2

Sin 90° = 1

Also : (Cosθ is the reverse of all the values of Sinθ)

Cos 0° = 1

Cos 30° = √3/2

Cos 45° = 1/√2

Cos 60° = 1/2

Cos 90° = 1

Now :

Tanθ = Sinθ/Cosθ

So :

Tan 0° = 0/1 = 0

Tan 30° = (1/2)/(√3/2) = 1/√3

Tan 45° = (1/√2)(1/√2) = 1

Tan 60° = (√3/2)(1/2) = √3

Tan 90° = 1/0 = Not defined/Undefined

∵ Anything by zero is not defined.