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