functions
practice problems
unit circle
Trig functions
Converting
100
what is the function of sine?
Opposite over hypotenuse
100
Give radians and ordered pair for 90º
π/2 (0,1)
100
What does the unit circle help us do?
find the values of trigonometric functions.
100
What is the Sine rule?
Sine rule: a/sin(A)=b/sin(B)=c/sin(C)
100
How do you convert degrees to radians?
multiply by PI over 180 degrees
200
What is the function of cosine?
Adjacent over hypotenuse
200
Give radians and ordered pair for 150º
5π/6 (-√3/2, 1/2)
200
What is meant by “wrapping the number line around the unit circle?”
maps the length of the arc that starts at (1,0)
200
What is the cosine rule?
Cosine rule: a2=b2+c2−2bccos(A)
200
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Freeby!!
300
What is the function of tangent?
opposite over adjacent
300
What quadrant has all positive signs?
The first
300
How far does trigonometry and the unit circle date back?
Egyptian times
300
What is the area of a triangle?
Area of a triangle: Area=1/2 absin(C)
300
How do you convert radians to degrees
multiply 180 degrees by PI
400
What is the function of the unit circle?
x2+y2=1.
400
Find the value of tan(45º) using the unit circle.
400
.....
Freeby!!
400
The area of the triangle is 16cm2. Find the length of the side x.
5.0 cm
400
What is the formula of radians?
one radian is = 180/PI degrees
500
What are the (X,Y) coordinates?
x=cos
y=sin
500
What are the signs of an ordered pair in QI
both x and y are positive
500
Hoe many quadrants and angles does the unit circle consist of?
four quadrants and 16 angles
500
....
Freeby
500
What is the difference between radians and degrees?
A degree is a unit of measurement which is used to measure circles, spheres, and angles while a radian is a unit of measurement which is used to measure angles.