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 ->  Trigonometry-basics -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!


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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