Use the appropriate identity to find tan(theta) given that cot theta =0.05.
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
since cotØ = 1/tanØ
then
cotØ = 1/.05 = 20
To find tan(theta) given that cot(theta) = 0.05, we can start by using the relationship between cotangent and tangent:
cot(theta) = 1/tan(theta)
Rearranging this equation, we get:
tan(theta) = 1/cot(theta)
Now, we know that cot(theta) = 0.05, so we can substitute this value into the equation:
tan(theta) = 1/0.05
Calculating this expression, we find:
tan(theta) = 20
Therefore, tan(theta) = 20.