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:9.25
Step-by-step explanation:
Answer:
<h2>
9/35, 0.257 or 25.7%</h2>
Step-by-step explanation:
The basic and simple way to calculate the probability of an event happening is by using this equation:
<h2>Number of desired outcomes</h2><h2>------------------------------------------------- = Probability </h2><h2>Number of all possible outcomes</h2><h2 />
Our desired outcomes are picking either red or yellow candies. The number of desired outcomes in this case is the total number of red and yellow candies. 6 red + 3 yellow = 9
Number of desired outcomes = 9
Number of all possible outcomes in this case is the total number of candies in the bag. 10 green + 8 brown + 3 yellow + 8 blue + 6 red = 35
Number of all possible outcomes = 35
Use the formula and we get that the probabbility of drawing out a yellow or red candy is: 9/35, 0.257 or 25.7% (those are 3 different ways to write the probability)
Answer:
y=-2x+2
Step-by-step explanation:
Given line is-
x-2y=7
we know,
equation of line perpendicular to ax+by=c is bx-ay=k
So, equation of line perpendicular to x-2y=7
is given by -2x-y=k
Now, the line -2x-y=k passes through (5,-8)
So, we get
-2(5)-(-8)=k
or, -10+8=k
or, -2=k
So, k=-2
Using the k value we get,
Equation of the line is-
-2x-y=-2
multiplying by -1
2x+y=2
or, y=-2x+2
This is the slope intercept form of the line.
Answer:
The Answer is A. 1.4 x 10^5
Step-by-step explanation:
Numbers in Scientific notation have the first number between 1 and 9 and then the decimal, followed by the rest of the numbers. Find the power of 10 by moving the decimal one place a time from right to left until the decimal is between the last number and the next to last.
B. is wrong because the number is .32 x 10^3 instead of 3.2 x 10^2
C. is wrong because it is 2 to the 10th power (2^10) instead of a power of 10
D is wrong because the number is 11.2 x 10^1 instead of 1.12 x 10^2
Hope this helps!! Have an Awesome Day!! :-)