The required solution to the trigonometry equation is x = π/4 + π n.
The equation of trigonometry functions is given in the question as
secx - cscx = 0
We have to determine the solution to the given equation
As per the question, we have
⇒ secx - cscx = 0
⇒ 1/cosx - 1/sinx = 0
⇒ (-cosx + sinx)/cosxsinx = 0
Using property : f(x)/g(x) = 0 ⇒ f(x) = 0
⇒ -cosx + sinx = 0
Divided by cosx into the equation,
⇒ -1 + tanx = 0
⇒ tanx = 1
The general solution for tan tanx = 1 is
⇒ x = π/4 + π n
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Answer:
65.5 degrees
Step-by-step explanation:
Triangles add up to 180 degrees. So, the last value has to make the rest add up to 180.
Let x be the unknown degree.
61 + 53.5 + x = 180.
You cancel out the 61 and the 53.3 by subtraction, making you get
x = 65.5
Hope I helped !!! :)
The lateral area would be 298.7 cm².
The lateral area is the area of all of the lateral faces of the pyramid. There are 8 triangles making up the lateral faces. Each has a base of 6.6. The formula for the area of a triangle is
A=1/2bh,
so we still need the height of the triangle.
The height of each lateral triangle is the slant height of the pyramid. The slant height of the pyramid forms a right triangle with the height of the pyramid and the "radius" as it were of the pyramid. Thus we use the Pythagorean theorem:
8²+8²=h²
64+64=h²
128=h²
√128=√(h²)
8√2 = h
Substituting this into our area formula we have:
A=1/2(6.6)(8√2)
We will go ahead and multiply this by 8, since there are 8 lateral faces:
LA=8(1/2)(6.6)(8√2)
LA = 298.7
Name the first even integer you are looking for
. The next even number is
.
Their sum is
, so
. That means
, hence
.
So, the desired numbers are
and
.
The slope of the line is 4/1 and the y-intercept is -1.
