The point (1, −1) is on the terminal side of angle θ, in standard position. what are the values of sine, cosine, and tangent of θ? plz show me how u got the answer

We can model the problem using a right angle triangle. 

The two sides, AB and BC are equal
By Pythagoras, we find the length of AC =  = 

Using the sin ratio ⇒ sin θ = opposite/hypotenuse, we have


Using the cos ratio ⇒ cos θ = adjective/hypotenuse, we have


Using the tan ratio ⇒ tan θ = opposite/adjective, we have