Q1.

_l I_ Assignment: Right Triangle Trigonometry - Directions: For 115, information about the sides and/or angles of right triangle ABC is given. Completely solve the triangle by finding all missing sides and angles. Write all angles in degrees. Round all answers to 1 decimal place except as indicated below. For problem 3, round the length ofside b to 2 decimal places. Assignment: Applications of Basic Triangle Trigonometry Directions: For this assignment, you must show all work to receive full credit. Questions: A boat travels 6 miles NW and then 2 miles SW. You want to find how far the boat is from its starting point. 1. Draw a diagram of this situation. 2. Identify the technique that you can use to solve the problem? 3. Find the distance between the boat and its starting point. Round to the nearest hundredth of a mile. You want to find the height of a building. You stand at point A and measure the angle of elevation to the top ofthe building to be 10. You move 50 ft closer to the building to point Band find that the angle of elevation to the top of the building is 60". 1. Draw a diagram of the situation. Use xto measure the distance from point Bto the building. Use hto represent the height of the building. 2. Using the smaller right triangle, write an expression involving a trigonometric function. Then, solve the equation for h. 3. Using the larger right triangle, write an expression involving a trigonometric function. Then, solve the equation for h. 4. Find the height of the building. Round to the nearest hundredth ofa foot. A forest ranger is positioned in a 48 ft high fire tower. He sees his partner on the ground at an angle of depression of 50. You want to find the distance between the base of the tower and the forest ranger's partner. 1. Draw a diagram of the situation. 2. Write an expression that represents the distance between the base of the tower and the forest ranger's partner. 3. Find the distance between the base of the tower and the partner. Round to the nearest hundredth ofa foot. Assignment: Vertical Shift of Sinusoidal Functions Worksheet For questions 1 3, find the minimum and maximum values of each sinusoidal function. 1. Mac) = gsinx + 1 2. x) = -cosx + 5 3. Mac) = sinx - 1 For questions 4 8, give the equation of the sinusoidal function represented by the graph. 4. \fAssignment: Graphs of Other Trigonometric Functions Directions: Answer the following questions using your knowledge of graphs of other trigonometric functions. In order to show your work, it may be necessary to take a picture of your work and upload it. Questions: For questions 1 3, use the sinusoidal function y= 25in4x+ 1 1. Graph the function on the interval [0, rr]. 2. Identify the relative maximums and the relative minimums on the interval [0, n]. 3. Graph the functionsy= 2$in4x+l and y= -2csc4x+1 between the interval [0, n] on the same coordinate system. Use a dashed line for the sin function and use a solid line for the cscfunction. For questions 4 7, graph each of the trigonometric functions on the interval 4. f(x) = 2 csc(x) + 1 5. g(x) = 2 csc(%x) + 1 6. h(x) = 2 csc(g(x - 3)) + 1 7. [(x) = cot(gx) + 3