The daily low temperature in guangzhou, China, varies over time in a periodic way that can be modeled by a trigonometric function. The period of change is exactly 1 year. The temperature peaks around july26 at 78°F, and has its minimum half year later at 49°F. Assuming a year is exactly 365 days, July 26 is 206/365 of a year after January 1.
Find the formula of the trigonometric function that models the daily low temperature T in Guangzhou t years after January 1, 2015. Define the function using radians

Step-by-step explanation:

The temperature peaks around july26 at 78°F, and has its minimum half year later at 49°F. Assuming a year is exactly 365 days, July 26 is 206/365 of a year after January 1.

Find the formula of the trigonometric function that models the daily low temperature T in Guangzhou t years after January 1, 2015. Define the function using radians

The function can be written as ...

where A is half the difference of the high and low temperature values, and B is the average of the high and low temperature values.

The value 206/365 is the horizontal right shift of the peak of the function. That makes the peak occur on July 26, as required.

Filling in these values gives us the function ...

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).