Question

HELP!!!!!!!

Answer 1

suppose you are building a rain shelter for a local park. the function y = 4 csc θ models the length y of rafter needed if the peak is 4 feet above the top of the wall. The angle θ is formed by the rafter and the top of the wall. Use a graphing claculator. find the length of the rafter need to make the roof for θ=19 degrees. Round to the nearest tenth of a foot.

Answer 2

consider the graph of the cosine function shown below. at what values of θ for 0 less than or equal to
θθ less than or equal to 2pi do the maximum value(s)(, minimum value(s), and zeros occur.

Answer 3

You are told the length of rafter is given by \[y = 4\csc \theta \]this is the trig relation\[csc \theta \ =1/ \sin \theta \]so \[y =4\times1/ \sin \theta \]

Because you are given the angle = 19 degrees you can compute it and get y.


For your graph question the confusion may arise from there being multiple maximums and minimums.

The mathematics here are to be done by inspection, so when x=2 you have maximums, and when x = -2 you have minimums.

The zeros can be seen when the graph crosses the y axis.

My advice would be to change the y scale, you are provided with an axis going from 0 to \[2 \pi\] Divide each section by 4 and write down the new scale along the y axis

I have done the first one for you.

Hope this helps!