Question

If cos X = ⅔ then tan X is equal to

Answer 1

Answer:

root 5by 2

Step-by-step explanation:

given cos x =2/3

then tan x=^5/2

tan x= opposite side /adjacent side

Answer 2

Given:

cos X = ⅔

To find:

The value of tan X.

Solution:

We know that cos X is obtained by dividing the length of the base of a right-angled triangle by the length of the hypotenuse. Thus, here the base of the triangle must be 2 units while the length of the hypotenuse must be 3 units. The length of the perpendicular side will be:

2²+Perpendicular² = 3²

4 +Perpendicular² = 9

Perpendicular² = 5

Perpendicular = √5

We know tan X = Perpendicular/ Base = √5/2

Thus tan X = √5/2.