You have the following equation:
secx - cosx = sinxtanx
In order to verify the previous identity, you show that the left side is equal to the right side. You proceed as follow:
secx - cosx = 1/cosx - cosx
to get the same denominators multiply by cosx/cosx in the second term:
1/cosx - cos²x/cosx
add the homogeneus fractions:
(1 - cos²x)/cosx
use the identity sin²x + cos²x = 1 => 1 - cos²x = sin²x
sin²x/cosx
write sin²x as sinxsinx
(sinx)(sinx/cosx)
separate the expression into two factors by replacing sinx/cosx = tanx
(sinx)(tanx)
Then, the given equation is an identity and it has been demonstrated that
secx - cosx = sinx tanx
Let

denote the random variable representing a given number in the total set of numbers. We're told that

of the numbers fall within a given range, so we know

where

is normally distributed with mean 45 and an unknown variance

.
Let's make the transformation to a random variable with a standard normal distribution:

Since

is symmetric, we have

The mean of

is 0, and by symmetry we know that exactly half of the distribution falls to the left of

, so

. We're left with


This probability corresponds to a value of

, which means
It seems like you've begun to group and factored out the GCF.
Because the inner binomials (the ones in parentheses) are the same, the next step is to rewrite the equation like so:
(25-x^2)(y+1)
From here, we can further factor (25-x^2) since they are both perfect squares.
(5+x)(5-x)(y+1)
No further terms can be factored so that is the final answer. Hope this helps!
Answer:
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Step-by-step explanation:
Answer:
You're correct
Step-by-step explanation: