Question

The line with equation x + y = 0 coincides with the terminal side of an angle θ in standard position in Quadrant II .

What is the value of tanθ ?

Answer 1

tanθ = -1

m=tanθ = -1

Explanation:

Step 1:-

using formula m=tanθ

Given straight line is x+y=0

The given straight line is passing through the origin so y = -x

straight line is passing through the origin so y = m x

m = -1

Step3:-

The line with equation x+y=0 with the terminal side of an angle θ in standard position in Quadrant II i.e., θ = 90+45=135

m = tanθ

m = tan(90+45)

m = - cot 45

m = -1

Step4:- m =tanθ =-1