If 12 5 )tan( = x and π

Step-by-step explanation:

Given that:

i.e. x is in 3rd quadrant. So tan is positive.

To find:

sin(x), cos(x), and cot(x).

Solution:

Given that:

We know by trigonometric identities that:

Comparing with the given values:

Perpendicular = 12 units

Base = 5 units

Using pythagorean theorem, we can find out hypotenuse:

According to pythagorean theorem:

We can easily find out the values of:

Given that x is in 3rd quadrant, sinx will be negative.

Given that x is in 3rd quadrant, cosx will be negative.

Given that x is in 3rd quadrant, cotx will be positive.