<span>to answer the question above, take the LHS.
[(tan x - 1) / (tan x + 1)] =
Remember that tan x = 1 / cot x.
{[(1 / cot x) - 1] / [(1 / cot x) + 1]} =
The LCD is cot x. Multiply as needed to get the common denominator for all terms.
{[(1 / cot x) - 1(cot x / cot x)] / [(1 / cot x) + 1(cot x / cot x)]} =
{[(1 / cot x) - (cot x / cot x)] / [(1 / cot x) + (cot x / cot x)]} =
Then Simplify.
[(1 - cot x) / cot x] / [(1 + cot x) / cot x] =
Remember that (a / b) / (c / d) = (a / b) * (d / c).
[(1 - cot x) / cot x] * [cot x / (1 + cot x)] =
[(1 - cot x) / (1 + cot x )] =
RHS</span>
The answer is
<span>[(tan x - 1) / (tan x + 1)] = [(1 - cot x) / (1 + cot x )] </span>
Answer: 15/8
Step-by-step explanation:
Answer: Fernando has 29 books
Step-by-step explanation:
The prime numbers between 21 and 30 are 23 and 29.
hence, the possible number of books Fernando has 23 or 29.
After taking 4 books away, the total number of books left can be :-
23-4=19
Since, 19 is not a square number so he cannot be able to place the same number of books on each shelf of his bookcase.
So Fernado doesn't have 23 books.
29-4=25
Also, 
Here, 25 is a square number so he will be able to place the same number of books on each shelf of his bookcase.
Therefore, Fernando has 29 books.
Answer:
1) x²-3x+9/4 = 81/4
2) x = 6, -3
Step-by-step explanation:
x²-3x-18=0
x²-3x=18
(b/2)² = (-3/2)² = 9/4; completing the square
x²-3x+9/4 = 18+9/4
(x-3/2)(x-3/2) = 81/4
x - 3/2 = ± 9/2
x = 3/2 ± 9/2
x = 6, -3
