You have the following expression:

To verify the identity, you have that the left side of the equation becomes:
(1 + cosx)(1 - cosx) = (1 - cos^2 x)
because of the product of an expression by its conjugate result in a difference of squares. Or simplfy by expanding the factors and simplying.
Next, you have:
1 - cos^2 x = sin^2 x
because the Pythagorean identity.
Then, the identity is verified.
Answer:
9,375
Step-by-step explanation:
Each number is multiplied by 5 to get the next number. We can see this by testing multiple number on this set of data.
3*5=15
15*5=75
75*5=375.
Thus, to find the next term in the set of data, we must multiply the last number that we are given by 5.
1875*5=9,375
The next number is 9,375
Hope this helps!
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