Set 2 (Circular functions) Flashcards
What is the Pythagorean Identity (for circular functions)?
Sketch a base y=sin(x) graph over the domain -2π≤x≤2π
Sketch a base y=cos(x) graph over the domain -2π≤x≤2π
Sketch a base y=tan(x) graph over the domain -π/2≤x≤π/2
The gradient of the point of inflection of the graph of y=tan(x) at x=0 is?
1
A function f(x) is defined with a restricted domain. A function g(x) is also defined with a restrictied domain.
What will be the domain of the function defined by f(x)+g(x) is terms of the domains of f(x) and g(x)?
The domain of f(x)+g(x) will be where the domain of f(x) and g(x) intersect.
What is the general solution for a cos function?
What is the general solution for a sin function?
What is the general solution for a tan function?
What is the range of the function f(x)=cos(x)
[-1,1]
What is the range of the function f(x)=sin(x)
[-1,1]
What is the range of the function f(x)=tan(x)
all real values xER
the period of a tan function can be found by using the formula…
pi/n
the period of a cos function can be found using the formula….
2*pi/n
the period of a sin function can be found using the formula….
2*pi/n
What is the general formula for the sine function in terms of the unit circle?
sin(θ) = opposite/hypotenuse
True or False: The cosine function is defined as the adjacent side divided by the hypotenuse.
True
Fill in the blank: The Pythagorean identity states that sin²(θ) + _____²(θ) = 1.
cos
Which of the following is the correct formula for the tangent function? a) tan(θ) = sin(θ)/cos(θ) b) tan(θ) = cos(θ)/sin(θ)
a) tan(θ) = sin(θ)/cos(θ)
What is sin(0)?
0
What is sin(pi)?
0
What is sin(2pi)?
0
What is sin(pi/2)?
1
What is sin(3pi/2)?
-1
What is cos(0)?
1
What is cos(pi/2)?
0
What is cos(pi)?
-1
What is cos(3pi/2)?
0
What is cos(2pi)?
1
What is tan (0)?
What is tan(pi/2)?
undefined (graph would have an asymptote there)
What is tan (pi)?
0
What is tan (3pi/2)?
undefined (graph would have an asymptote there)
What is tan (2pi)?
0
What does nEZ mean in the general formula equation?
The value of n will take an integer value ie whole number positive and negative, including zero.
