# Chapter 8 Trigonometric Functions of Real Numbers

## Terms

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Sin 30
Sin 45
Sin 60
Sin 30= 1/2
Sin 45= square root 2/2
Sin 60= square root 3/2
Cos 30
Cos 45
Cos 60
Cos 30= square root 3/2
Cos 45 square root 2/2
Cos 60= 1/2
Tan 30
Tan 45
Tan 60
tan 30= square root 3/3
Tan 45= 1
Tan 60= square root 3
What formula do you use to find radian measure of theta
Theta = s/r
What is the formula for the area of a triangle
A= 1/2 x ab x sin theta
What does 180 degrees equal to?
pie
How do you convert degrees to radians?
multiply by pie/180
How do you convert from radians to degrees?
multiply by 180/pie
What is the arc length formula?
s=r(theta)
What is the sector Area formula
A=(1/2) x r squared (2) x theta
What two formulas do you use to find the shaded segment of a circle? what do you do with those two formulas?
1) Area of sector
2) Area of triangle
3) Area of sector minus Area of Triangle to get the area of the segment
How do you find the amplitude?
maximum minus minimum divided by 2
What is the difference between a sin graph and a cos graph
Sin graph starts at points (0,0); cos graph starts at points (0, 1)
What are x-intercepts? What are y-intercepts?
X intercepts are the points at which the line hits the points on the X-axis; y intercepts are the points at which the lines hits the points on the y-axis
What is 2 pie/B
the period
How do you evaluate these kinds of expressions:

cos 4(pie)/3
1) find reference angle (convert to degrees and subtract answer by 180: 240-180)

2) the answer here is cos 60 which equals to 1/2. But now you have to find whether it's negative or positive. cos 240 Degrees in the the third quadrant which makes it negative
csc=?
Cot=?
Sec=?
csc=sin
cot=tan
sec=cos
90 degrees is what in radians?
pie/2
270 degrees is what in radians?
3 (pie)/2