I'm only going to alter the left hand side. The right side will stay the same the entire time
I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
So with that in mind, this is how the steps would look:
tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x
Identity is confirmed
D has a value of 24.
V121 is 11, so 13 + 11 is 24
Yes
factor out the 2z^2 in each term
(2z^2)(z^2-5z+4)
factor some more
z^2-5z+4
find what 2 numbers multiply to get 4 and add to get -5
the numbers are -1 and -4
(z-1)(z-4)
the factored form is
(2z^2)(z-1)(z-4)
Answer:
Step-by-step explanation:
In order to calculate the volume of a triangular prism you need 2 things:
The triangles area and the prism's height.
Any prism's volume can be calculated by multiplying its base area with its height.
The Area of a triangle can be calculated in different ways.
The most used and "normal" way is:
(width * height) / 2
Another way is by using herons formula, which looks like this:
a, b, c = different sides of the triangle (length)
s = (a + b + c) / 2
a = 
When you have the prism's base area (
) you just have to multiply:

(V = volume)
If you have any questions, just ask them in the comments below.
Have a good day! (●'◡'●)