Use the fundamental identities to find the values of the trigonometric function. (6 pts)If cos θ = and θ is in quadrant III, find all five other trigonometric function values.

Find the given power. Write answer in rectangular form.(3 – 3i)3

Bonus (4 pts)Solve the problem.A plane is heading due south with an airspeed of 245 mph. A wind from a direction of 53° is blowing at 13 mph. Find the bearing of the plane.

Find the specified quantities and graph. (16 pts)y = 2 – 3 sin a. Amplitude = b. Period = c. Subinterval Length = d. Endpoints of the phase shift (inequality) :e. Fill in the table of values with the 5 key x-values. You may use all 3 columns or 2, as you feel fit. ​ ​ ​ ​ ​ ​ f. Graph and label both axes. The units on the x-axis MUST be labeled. 1.

Which of the following is an example of a mathematical statement? (A) Chocolate milkshakes are delicious. (B) My boyfriend is taller than I am.  (C) There is too much traffic on Highway 280. (D) 23 is the coolest basketball jersey number.   

Extra credit for this class is already built into the class!           Hint: Go to the 4th heading in the syllabus, IV. Class Format, and then read about Exam Reviews.  a) How many extra credit points are possible? b) How can you earn these extra credit points? 

A load of P = 245 lb is applied to beam ABC. Determine the normal force in bar (1). Let a = 37 in., b = 13 in., and c = 9 in.

A load of P = 385 lb is applied to beam ABC. Determine the normal force in bar (1). Let a = 32 in., b = 14 in., and c = 9 in.

A 3D printed polymer rod measures 167.00 mm in length while on the heated print bed at 57.8°C. After cooling to room temperature at 20.6°C the rod measures 166.61 mm in length. Determine the coefficient of thermal expansion of the polymer.

A load of P = 525 lb is applied to beam ABC. Bar (1) is made of aluminum [E = 10,400 ksi] and has a square cross section with a width of 0.86 in. Determine the magnitude of the change in length of bar (1) due to the load. Let a = 31 in., b = 14 in., and c = 8 in.