(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 = -1!
1. Factor out 2 from the expression : 2(x-5) / 4 = 3x
2. Reduce the fraction with 2 : x-5 / 2 = 3x
3. Multiply both sides of the equation by 2 : x-5=6x
4. Move the terms : x - 6x = 5
5. Collect like terms : -5x = 5
6. Divid both sides by -5
Hope this helps!
<span>1.
The current ratio (assets/liabilities) of company X is 3.1. Given that
the current assets are $186000, find the current liabilities:
Assets = A
Liabilities = L
A / L = 3.1 => L = A / 3.1
A = 186000 => L = 18600 / 3.1 = 6000
Answer: $ 6000
2. The board of directors determines that the current ratio must never
be below 2.6. What is the maximum amount that the company can borrow?
A/L ≥ 2.6
=> L ≤ A / 2.6
=> L ≤ 186000 / 2.6
L ≤ 71538.46
Answer: $71538.46
</span>
Answer:
Step-by-step explanation:
he average walking speed of a human is 3 to 4 miles per hour, or 1 mile every 15 to 20 minutes. How fast you walk can be used as an indicator of overall health. Several variables contribute to individual differences, including age, sex, and height.
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