(tan²(<em>θ</em>) cos²(<em>θ</em>) - 1) / (1 + cos(2<em>θ</em>))
Recall that
tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>)
so cos²(<em>θ</em>) cancels with the cos²(<em>θ</em>) in the tan²(<em>θ</em>) term:
(sin²(<em>θ</em>) - 1) / (1 + cos(2<em>θ</em>))
Recall the double angle identity for cosine,
cos(2<em>θ</em>) = 2 cos²(<em>θ</em>) - 1
so the 1 in the denominator also vanishes:
(sin²(<em>θ</em>) - 1) / (2 cos²(<em>θ</em>))
Recall the Pythagorean identity,
cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1
which means
sin²(<em>θ</em>) - 1 = -cos²(<em>θ</em>):
-cos²(<em>θ</em>) / (2 cos²(<em>θ</em>))
Cancel the cos²(<em>θ</em>) terms to end up with
(tan²(<em>θ</em>) cos²(<em>θ</em>) - 1) / (1 + cos(2<em>θ</em>)) = -1/2
x = 8/7
hope this helps on whatever you are doing!
Answer:
The correct option is B) 
Step-by-step explanation:
Consider the provided function.
and 
We need to divide f(x) by d(x)
As we know: Dividend = Divisor × Quotient + Remainder
In the above function f(x) is dividend and divisor is d(x)
Divide the leading term of the dividend by the leading term of the divisor:
Write the calculated result in upper part of the table.
Multiply it by the divisor: 
Now Subtract the dividend from the obtained result:
Again divide the leading term of the obtained remainder by the leading term of the divisor: 
Write the calculated result in upper part of the table.
Multiply it by the divisor: 
Subtract the dividend:
Divide the leading term of the obtained remainder by the leading term of the divisor: 
Multiply it by the divisor: 
Subtract the dividend:
Therefore,
Dividend = 
Divisor = 
Quotient = 
Remainder = 0
Dividend = Divisor × Quotient + Remainder
Hence, the correct option is B)
In this problem, we're going to use the 'PEMDAS' method.
First, we're doing the problem in the parenthesis.
44 - 4 = 40
Next in PEMDAS, we need to do the exponent.
6² = 6 x 6 = 36
Then we would do multiplication, but there is nothing to multiply so we move onto division.
40 / 2 = 20
Now we would add, but there is nothing to add so we move onto subtraction.
20 - 36 = -16
Our final answer would be -16.
Hope this helps!~
The answer is B, hope this helped
