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?
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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
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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
- 360 is what in radians?
- 2(pie)
- When y=tan x, what is the asymptote?
- + or - pie/2