Trigonometri odevlerin islemi
2 answers:
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Step-by-step explanation: you do If \displaystyle x+y+z=\pix+y+z=π prove the trigonometric identity
\displaystyle cot{\frac{x}{2}}+cot{\frac{y}{2}}+cotg\frac{z}{2}=cot{\frac{x}{2}}cot{\frac{y}{2}}cot{\frac{z}{2}}cot
2
x
+cot
2
y
+cotg
2
z
=cot
2
x
cot
2
y
cot
2
z
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Answer: n is a positive odd number.
Step-by-step explanation:
Ok, we know that the function is something like:
f(x)=a(x+k)^1/n + c
In the graph we can see two thigns:
All the values of the graph are positive values (even for the negative values of x), but in the left side we can see that the function decreases and is different than the right side.
So this is not an even function, then n must be an odd number (n odd allows us to have negative values for y = f(x) that happen when x + k is negative).
Also, we can see that the function increases, if n was a negative number, like: n = -N
we would have:
So in this case x is in the denominator, so as x increases, we would see that the value of y decreases, but that does not happen, so we can conclude that the value of n must be positive.
Then n is a positive odd number.
The value of k is 3
Solution:
Let us first find the equation of the line f(x).
The points on the line are (-6, -2) and (0, 4).
Here,
Formula to find equation of a line:
Do cross multiplication.
y + 2 = x + 6
y = x + 4
f(x) = x + 4
Given that g(x) = f(kx)
g(x) = kx + 4
The point in the graph of g(x) is ( -2, -2).
g(-2) = k(-2) + 4
we know that g(-2) = -2.
-2 = -2k + 4
Subtract 4 from both sides.
-6 = -2k
Divide by -2 on both sides.
3 = k
k = 3
The value of k is 3.
we know that
To find the solution let's factor the equation
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
therefore
the answer is the option
A. –6 or x = 2