Homework Statement
If cosθ = -5/13 and 0 <= θ <= 2π, what are possible values of θ?
Homework Equations
The Attempt at a Solution
θ is in quadrant 2 or 3
in quadrant 2:
related acute = cos^{-1}(5/13)
= 1.18
θ = π - 1.18
= 1.96 radians
in quadrant 3:
related acute angle = 1.18
θ = π +...
Homework Statement
The terminal arm of an angle in standard position passes through (-7,8). Find the radian value of the angle in the interval [0,2∏], to the nearest hundredth.
Homework Equations
sinθ = \frac{y}{r}
cosθ = \frac{x}{r}
tanθ = \frac{y}{x}
The Attempt at a Solution
The terminal...
Homework Statement
Write an explicit formula for the sequence determined by the following recursion formula.
t_{1}= 0; t_{n} = t_{n-1} + \frac{2}{n(n+1)}
The Attempt at a Solution
t_{1} = 0
t_{2} = t_{1} + \frac{2}{2(2+1)}
t_{2} = \frac{1}{3}
t_{3} = t_{2} + \frac{2}{3(3+1)}
t_{3} =...
Homework Statement
What is the domain and range of the function y = \frac{2}{x^2-4}
The Attempt at a Solution
I'm lost, and I noticed it seems like a difference of squares so what I did is y = \frac{2}{(x-2)(x+2)}. So the x value of vertex is 0. And i subbed this into the equation...