The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ > 0. what is the value of sinθ ?
a. -(√17/17)
b. -(17/√17)
c. -(14/√17)
d. -(17/√14)

Option A. -()

Step-by-step explanation:

Equation of a given line is a + 4b = 0 or b = -

This in the form of y = mx + b, which is slope-intercept form.

Here slope of the line is ().

Or tanθ =

This line coincides with the terminal side of the angle in standard position where cosθ > 0

Since tanθ =

and sinθ =

Hypotenuse =

                     =

                     =

Since tanθ is negative and cosθ > 0 that means θ lie in fourth quadrant.

Therefore, sinθ will be negative.

[ ]

sinθ = -

       = -

Answer will be option A.

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step-by-step explanation: check the picture for info and stats : )