Verify the identity. (cos x/ 1+ sin x) + (1+ sin x/cos x) = 2 sec x
1 answer:
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Answer:
f(x) = (x +4)(x -1)(x -2)²
Step-by-step explanation:
The given points are all x-intercepts of the function. As such, each corresponds to a factor of the function. The x-intercept x=p corresponds to factor (x-p), for example.
Here, the x-intercept (2, 0) is repeated. It is said to have "multiplicity 2". That multiplicity value means the factor will have an exponent of 2 in the factored form of the function:
f(x) = (x -(-4))(x -2)(x -1)(x -2)
f(x) = (x +4)(x -1)(x -2)²
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<em>Additional comment</em>
When an x-intercept has even multiplicity, the graph will touch the axis there, but will not cross.
Hey!
Since they are 45-45-90 triangles, the two legs are <u>equal</u><u>.</u>
<u />
Therefore x is
Now, the hypotenuse, y, is the same as any leg times
So we do *
which is
.
Now we need to simplify that.
is the same as
which is
which is
Hope this helps! :DD