What is the average rate of change

Mathematics

1 answer:

algol [13]2 years ago

6 0

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

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Using sin^2x+ cos^2 x=1 and other trig properties, simplify the following: (cos^2Ø*tan^2Ø)/(1-cos^2 Ø.

user100 [1]

$\dfrac{\cos^2\O\cdot\tan^2\O}{1-\cos^2\O}=\dfrac{\cos^2\O\cdot\tan^2\O}{\sin^2\O}=\dfrac{\cos^2\O}{\sin^2\O}\cdot\tan^2\O\\\\=\dfrac{1}{\dfrac{\sin^2\O}{\cos^2\O}}\cdot\tan^2\O=\dfrac{1}{\left(\dfrac{\sin\O}{\cos\O}\right)^2}\cdot\tan^2\O=\dfrac{1}{\tan^2\O}\cdot\tan^2\O\\\\=\dfrac{\tan^2\O}{\tan^2\O}=1$

$Used:\\\\\sin^2\O+\cos^2\O=1\to1-\cos^2\O=\sin^2\O\\\\\tan\O=\dfrac{\sin\O}{\cos\O}$

8 0

2 years ago

Read 2 more answers

The number of new customers n that visit a dry cleaning shop in one year is directly related to the

Ipatiy [6.2K]

Answer:

$15,264 cost amount on new advertising.

Shown as new equation that includes (original + new customer base)

n3=15264a

Step-by-step explanation:

First we have to find original amount of customers as 3 represents a multiple of n

n3=13824a

n3 means n x 3 then customer base is one third

= 1/3 x 13,824 = 4608 original customers per year

= 4608 original customers +480 new customers

4608 + 480 = 5088 total orig+initial customers

5088 x 3 = 15264 cost

= ($)15,264 cost

new equation

n3=15264a

4 0

2 years ago

likoan [24]

Answer: 230cm²

Step-by-step explanation:

>We can do this by splitting the figure into 2 trapeziums.

>Additionally, you can see that both trapeziums bear the same lengths a and b. Hence, we can use this formula: $\frac{1}{2} * (a+b) * (total height)$ .