Trigonometry Function Definitions
Given that (x, y) is a point on a circle centered at the origin with radius r, what is y/r?
The ratio of variables equal to Sine.
What are the solutions to the equation 4x2=64?
x=4, x=-4
What is radian measure of 180 degrees?
pi
What is an equation for the squaring function shifted up by 2 units?
f(x)=x2+2
On a unit circle, what is the x coordinate for 30 degrees?
ā3/2
Given that (x, y) is a point on a circle centered at the origin with radius r, what is r/x?
The ratio of variables equal to Secant.
What the two factors of the quadratic expression:
8x2-10x-3
(2x-3) and (4x+1)
What is radian measure of 90 degrees?
pi/2
What is an equation for the absolute value function shifted to the left by 20 units?
f(x)=|x+20|
On a unit circle, what is x coordinate for 60 degrees?
1/2
Given that (x, y) is a point on a circle centered at the origin with radius r, what is x/y?
The ratio of variables equal to Cotangent.
Find the solutions for the equation:
5x2+2x+12=0
x=-1/5-iā59/5
x=-1/5+iā59/5
What is degree measure of 3pi/4?
135 degrees.
If f(x)=x2 and g(x)=x-2, what is the equation for f(g(x))?
f(g(x))=(x-2)2
On a unit circle, what is y coordinate for 1620 degrees?
What is sin2x+cos2x?
1
State the degree, number of complex roots, and number of real roots of the polynomial given by f(x) = (x-1)(x2+2)(x2-16)
Degree: 5;
Real roots: x = 1, x = 4, x = -4;
Complex roots: x = sqrt(2)i, x = -sqrt(2)i
What is radian measure of 330 degrees?
11*pi/6
Given an example of fifth degree polynomial with three terms.
Answers may vary (peer audit)
If sec x=-2 and cot x <0, which quadrant is the angle x terminating in?
Given that (x, y) is a point on a circle centered at the origin with radius r, what is r/y?
The ratio of variables equal to Cosecant.
Draw a polynomial graph that could match the polynomial function: f(x) = (x-4)(x+2)(x2+1)
Peer audit
What are the two ancient civilizations that discovered trigonometry?
Babylon and Egypt
Give a polynomial equation whose zeros would be 5, -4, 3i. Write your answer in general form (expanded), and suppose leading coefficient a=1.
y=x4-x3-11x2-9x-180
What is the origins of the word Trigonometry?
Greek words:
Trigonon (triangle)
Metron (measure)