Do you want a general solution or from 0 <= x < 2pi?
tan^2(2x) - 1 = 0
tan^2(2x) = 1
Take the square root of both sides,
tan(2x) = +/- 1
Two equations:
tan(2x) = 1
tan(2x) = -1
Solve each equation.
tan(2x) = 1, 2x = {pi/4, 5pi/4, 9pi/4, 13pi/4},
x = { pi/8, 5pi/8, 9pi/8, 13pi/8 }
tan(2x) = -1, 2x = { 3pi/4, 7pi/4, 11pi/4, 15pi/4 },
x = { 3pi/8, 7pi/8, 11pi/8, 15pi/8}
So for solutions within [0, 2pi),
x = {pi/8, 3pi/8, 5pi/8, 7pi/8, 9pi/8, 11pi/8, 13pi/8, 15pi/8 }
Answer:
The first one.
Step-by-step explanation:
The dots on the dot plot are mostly to the right.
Answer:
164
Step-by-step explanation:
(-7)^2 + 5 • 25 - 10
49 + 5 • 25 - 10
49 + 125 -10
164
Answer:
4teen plus 9 makes 2three
Answer:
The drawing will fit the index card
Step-by-step explanation:
The scale use by Shannon is
1 inch represent 0.5 feet.
Thus, the length of the car in the drawing is 12 * 0.5 = 6 inch.
The size of the paper is 5 inch by 7 inch
Hence, considering the longest side of paper representing the length of the car, it can be said that the drawing will fit the index card.