Step-by-step explanation:
sin(x/2) = sqrt((1 - cos(x))/2)
cos(x/2) = sqrt((1 + cos(x))/2)
tan(x/2) = sin(x/2)/cos(x/2)
sin(x) = 15/17
so, we can assume the Hypotenuse of the right-angled triangle is 17, the vertical leg is 15.
via Pythagoras we get the 3rd, horizontal side :
17² = 15² + side²
289 = 225 + side²
64 = side²
side = 8
cos(x) = 8/17
sin(x/2) = sqrt((1 - 8/17)/2) = sqrt(9/34) = 3/sqrt(34) =
= 0.514495755...
cos(x/2) = sqrt((1 + 8/17)/2) = sqrt(25/34) = 5/sqrt(34) =
= 0.857492926...
tan(x/2) = 3/sqrt(34) / 5/sqrt(34) = 3/sqrt(34) × sqrt(34)/5 =
= 3/5 = 0.6
H=3.7
Then 0.8+h=0.8+3.7
=4.5
Answer:
Linear function
y = 2x - 1
Step-by-step explanation:
This is a linear function because the line is straight, having no curved.
The equation for a linear graph is y=mx + b.
x and y represent points on he graph.
"m" represents the slope of the graph. Reading from left to right, if a positive slope, then the graph continues upward. If negative, then it's a graph down downwards.
"b" represents the y-intercept, when the graph hits the y-axis. It's also the initial value.
In the photo, we can see the y-intercept is (0, -1).
Slope is calculated by rise over run. Choose two random points on the graph. Count the "rise", or how many vertical units are between the points. If the point on the right is lower than the point on the left, the rise is negative. Count the "run", which is the number of horizontal units between the points.
For the point (0, -1) and (3, 5).
m = rise/run
m = 6/3
m = 2
Substitute m=2 and b= -1 into the equation of a line.
y = 2x - 1
