1. given:
csc(x) + sin(x)
2. definition of csc(x) :
1/sin(x) + sin(x)
3. combining fractions with a common denominator:
(1 + sin²(x))/sin(x)
4. expanding 1 = cos²(x) + sin²(x) :
(cos²(x) + sin²(x) + sin²(x))/sin(x)
5. simplifying:
(2 sin²(x) + cos²(x))/sin(x)
6. employing the same identity as in (4) :
(2 (1 - cos²(x)) + cos²(x))/sin(x)
7. expanding 2 (1 - cos²(x)) :
(2 - 2 cos²(x) + cos²(x))/sin(x)
8. simplifying:
(2 - cos²(x))/sin(x)
Answer:
Paris
Step-by-step explanation:
In London we get
£1 = €1.14
In Paris we get
£0.86=€1
dividing both sides by 0.86 gives:
£1 = €1/0.86=€1.16 in Paris
so in Paris you get more € for the same £1
A graph shows the limit to be 1/2.
https://www.desmos.com/calculator/qrf6ay47tw
Since the value of the function is the indeterminate form 0/0, L'Hôpital's rule applies. The ratio of derivatives of numerator and denominator is
.. x/

Evaluated at x=1, this is
.. 1/

= 1/2
Answer:
I don’t know
Step-by-step explanation: