find the value of k

Question

if tan ( Arc cos (square root of 3)/k) =(square root of 3)/3

then k is?

 

the square root is only on 3, in both cases, not on the 3 on the bottom or k on the bottom.

Answer 1

SAY                    X  = ARCCOS √3/k

 

THEN:           TAN X = √3/3, SO THEREFORE X = ∏/6

 

SO     ARCCOS √3/k = ∏/6

 

BUT         COS ∏/6   =  √3/2

 

SO               √3/k    =  √3/2

 

SO                    k    =  2

Answer 2

tan(π/6) = √3/3

 

So. Arccos(√3/k) = π/6

 

Therefore, cos(π/6) = √3/k

 

                            √3/2 = √3/k

 

k = 2