Trig Equations
sin2θ-1=0
90° and 270°
Find the distance between the point (3, 1) and the line y = x-4
square root of 2 ~ 1.414
How many 3 digit positive integers, all of whose digits are odd, are less than 400?
50
cos2θ-cosθ=0
0°, 90°, and 270°
The central angle of a sector of a circle is 103°. Find the area of the sector in square centimeters if the radius of the circle is 0.1 meter.
89.88 square cm
How many distinguishable ways can 4 identical red flags and 3 identical green flags be arranged in a row?
35 ways
sin3θ-1=0
30°, 150°, and 270°
The equation x2+y2-8x+2y+13=0 is the equation of a circle. Complete the square to change this equation to standard form.
(x-4)2+(y+1)2=4
The total cost varied linearly with the number produced. When 200 were produced, the cost was $2050. When 30 were produced, the cost was $350. Write an equation that gives cost as a function of the number produced.
C=10N+50
cos4θ-1=0
0°, 90°, 180°, and 270°
Find the distance between the point (-4, 6) and the line y-x+4=0
7 root 2 ~ 9.899
Josh can row 12 miles downstream in 1 hour less than she he could row 6 miles upstream. What was the speed of the current in the river, and how fast could Josh row in still water if the speed of the current was one half the speed Josh could row in still water?
Current = 2 mph, Josh = 4 mph
tan2θ=1
45°, 135°, 225°, and 315°
Find the equation in double-intercept form of the perpendicular bisector of the line segment whose endpoints are (-4, 6) and (6, 8)
x/(12/5)+y/12=1
The ratio of the number of reds to the number of whites was 1:2. The ratio of the number of greens to the number of whites was 5:4. If the total number of reds, whites, and greens was 22, how many were there of each color?
4 Reds, 8 Whites, 10 Greens