The product of trigonometric functions can be converted into sum ans vice versa. The given function is a product and we can convert it to a sum.One way is to expand the given expression and simplify it to find the result.
The second and easier option is to just remember the formulas of product to sum conversion identities. The 4 formulas for this case are listed below in the image.
Since we have the product of cos and sin, the sum will involve two sine functions connected by addition.
So the correct answer is option A
There are 52 weeks in one year. If we divide 159 by 52 we get 3.05. Therefore, there would be an average of 3-4 murders per week.
(3) 8
Step-by-step explanation:
Note that ∆ADE is similar to ∆ABC. As such, the ratios of their legs are equal. Also note that AD = AB + BD.
BC/AB = DE/AD
BC/10 = 12/(10 + 5) = 12/15 = 4/5
or
BC = 10(4/5) = 8
Answer:
The answer is below
Step-by-step explanation:
a) The integral
means the total change in level of water in inches from 1 am to 10 am. That is the water level change measured in inches between 1 am and 10 am
b) 7 pm is represented as t = 19 hours, while midnight is represented as t = 24 hours, hence the water level change between 7 pm and midnight is:

c) Using casio calculator to evaluate the integral gives:
= 2.54 inches
D) The total daily change in water level =
= 0.35 inches