Question

if tan x=3 cot x , find the value of x​

Answer 1

x = 60°

tan 60=root 3

cot 60 = 1/root3

Tan 60 = 3 × cot 60

root 3 = 3 × 1/root 3

root 3 = root 3

hence proved//

X=60°

Answer 2

Answer:

π/3

Step-by-step explanation:

tan x= 3 cot x

⇒tan x/cot x=3

⇒sin^2 x/cos^2 x=3

⇒sin^2 x= 3 cos^2 x

⇒sin^2 x=3/4

⇒sin x= √3/2

⇒x= sin^-1(√3/2)

⇒x=π/3