Question 516301: Find ALL solutions to the equation. tanθ=-1. PLEASE HELP ME. i REALLY need it!!!!!??!!!?
Find ALL solutions to the equation.
tanθ=-1.
Part I: Write an equation that expresses the value of θ in terms of an appropriate inverse trigonometric expression.
Part II: On the interval [0,2π], what values of θ satisfy your equation in Part I?
Part III: Write an expression for all solutions to the equation
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find ALL solutions to the equation. tanθ=-1. PLEASE HELP ME. i REALLY need it!!!!!??!!!?
Find ALL solutions to the equation.
tanθ=-1.
Part I: Write an equation that expresses the value of θ in terms of an appropriate inverse trigonometric expression.
Part II: On the interval [0,2π], what values of θ satisfy your equation in Part I?
Part III: Write an expression for all solutions to the equation
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I don't have the symbol theta on my keyboard so I will use x in its place.
..
Tan x=-1
x=3π/4+πn (n=integer)
..
Parts I and II: arctan(-1)=-π/4
Part III: Domain of inverse tan is (-π/2,π/2), so only solution=-π/4
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