Use identities to find the exact value of the indicated trigonometric function of the acute angle θ. Find cot θ when sin θ =  and cos θ = .

Use transformations to graph y = 3 cos x – 5.

Use identities to find the exact value of the indicated trigonometric function of the acute angle θ. Find tan θ when sin θ =  and cos θ = .

Name the quadrant in which the angle θ lies given that tan θ > 0 and sin θ < 0.

A point on the terminal side of angle θ is (9, 12). Find the exact value of cos θ.

A radio transmission tower is 120 feet tall. How long should a guy wire be if it is to be attached 14 feet from the top and is to make an angle of 25° with the ground? Give your answer to the nearest tenth of a foot.

Room Scan Reminder During the room scan, you were required to physically show: both sides of each page of your scratch paper, As well as: your phone, shut off and placed a minimum of 5 feet from you (preferably on the other side of the room).   If you did not do this, please do so now – otherwise, you will lose 10 points on your exam. Once you have completed this, you can click on to the next question. If you already did this, you can click on to the next question.

A radio transmission tower is 250 feet tall. How long should a guy wire be if it is to be attached 11 feet from the top and is to make an angle of 35° with the ground? Give your answer to the nearest tenth of a foot.

Suppose we are forecasting weekly sales for a specific item, item X. Assuming the amount of information is available across stores, which of the following forecasts for item X would you expect to have the lowest mean absolute percentage error (MAPE)?

In the two graphs below (left and right), blue lines are sales and red lines are forecast. Which forecast has a relatively smaller smoothing constant α?