Question

If cos x = square root of 3/2 , what is the value of cot x?a.) 2b.) 1c.) square root of 3/3d.) square root of 3

Answer 1

From the information given,

Cosx = √3/2

We would find x by finding the cosine inverse of √3/2

x = arccos√3/2

x = 30

Recall, Tan 30 = 1/√3

Thus, tan x = 1/√3

Cot x = 1/tanx = 1/(1/√3) = 1 * √3/1

Cot x = √3