Question

Use the appropriate identity to find tan(theta) given that cot theta =0.05.

Answer 1

Cot (theta) is just 1/(Tan(theta)).

So we have 0.05 = 1/(Tan(theta))

And thus, by multiplying both side by Tan(theta), we have :

0.05 x Tan(theta)= 1

So Tan(theta)= 1/0.05 = 20

Tan (theta) = 20

Answer 2

since cotØ = 1/tanØ
then
cotØ = 1/.05 = 20