Answer:
Identity (a) can be re-written as
![sec x\ cosec x - cot x = tan x](https://tex.z-dn.net/?f=sec%20x%5C%20cosec%20x%20%20-%20cot%20x%20%3D%20tan%20x)
which we already proven in another question, while for idenity (b)
![(A)\frac 1 {sin x} -sin x = cos x \frac{cos x}{sin x}\\\\(B)\frac {1-sin^2x}{sin x} = \frac {cos^2x} {sin x} \\\\(C) \frac {cos^2x}{sin x} =\frac {cos^2x} {sin x}](https://tex.z-dn.net/?f=%28A%29%5Cfrac%201%20%7Bsin%20x%7D%20-sin%20x%20%3D%20cos%20x%20%5Cfrac%7Bcos%20x%7D%7Bsin%20x%7D%5C%5C%5C%5C%28B%29%5Cfrac%20%7B1-sin%5E2x%7D%7Bsin%20x%7D%20%3D%20%5Cfrac%20%7Bcos%5E2x%7D%20%7Bsin%20x%7D%20%5C%5C%5C%5C%28C%29%20%5Cfrac%20%7Bcos%5E2x%7D%7Bsin%20x%7D%20%3D%5Cfrac%20%7Bcos%5E2x%7D%20%7Bsin%20x%7D)
step A is simply expressing each function in terms of sine and cosine.
step B is adding the terms on the LHS while multiplying the one on RHS.
step C is replacing the term on the numerator with the equivalent from the pithagorean identity ![cos^2x + sin^2x = 1](https://tex.z-dn.net/?f=cos%5E2x%20%20%2B%20sin%5E2x%20%3D%201)
Answer:
93
Step-by-step explanation:
Answer:
5
0.1
10
10
Step-by-step explanation:
|actual temp - estimate| = |50 - 45| = |5| = 5
5/50 = 0.1
0.1 × 100 = 10
10
Michelle can fold 4/54 baskets per minute = 8/108 baskets per minute.
Ruby can fold 4/108 baskets per minute.
Each minute Michelle and Ruby work together, they can fold
8/108 +4/108 = 12/108 = 1/9
of a basket of clothes. For 8 baskets of clothes, it will take them
(8 baskets)/(1/9 baskets/minute) = 72 minutes
Answer:
404.5 dollars
Step-by-step explanation:
8x9+(0.875x380)=404.5