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?

tanθ = - 1

m=tanθ = - 1

Step-by-step 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