Question

If tan θ = 9, find the exact value of cot(θ).
A. 8
B. 10
C. 1\9
D. 9

Answer 1

cot(theta) = 1/tan(theta)
cot(theta) = 1/9

Answer is choice C

Answer 2

C.
`(1)/(9)`

Explanation:

By the trigonometric ratios,

`tan \theta = (1)/(cot \theta)`

`\implies cot \theta=(1)/(tan \theta)`

We have given,

`tan \theta =9`

By substituting the value,

We get,

`cot \theta = (1)/(9)`

Hence, option 'C' is correct.