SOLUTION: The equation, with a restriction on​ x, is the terminal side of an angle theta in standard position. 5x+y=​0, x is less than or equal to 0 sin theta= cos theta= t

Algebra.Com
Question 1118435: The equation, with a restriction on​ x, is the terminal side of an angle theta in standard position.
5x+y=​0, x is less than or equal to 0
sin theta=
cos theta=
tan theta=

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


.

The slope of the line is the tangent of the angle.

















But the angle is in QII where cosine is negative, hence:



Make the substitution to solve for . Remember sine is positive in QII.

John

My calculator said it, I believe it, that settles it


RELATED QUESTIONS

The equation, with restriction on x, is the terminal side of an angle theta on standard... (answered by stanbon)
An equation of the terminal side of an angle theta in standard position is given along... (answered by stanbon)
The terminal side of an angle theta in standard position coincides with the line 3x+y=0... (answered by stanbon)
The terminal side of an angle theta in standard position coincides with the line 4x + y=0 (answered by stanbon)
If (4,-3) is a point on the terminal side of an angle theta in standard position,... (answered by stanbon)
The line with equation y + 2x = 0 coincides with the terminal side of an angle θ in... (answered by KMST)
Find the value of csc for angle in standard position if the point at (3, –1) lies on... (answered by solver91311)
If theta is an angle in standard position and P(-3,4) is a point of the terminal side of... (answered by stanbon)
Let (-4,-1) be a point on the terminal side of an angle theta in standard position. Find... (answered by Boreal,Alan3354)