and then for wuestion number 2 can you do A,B,C
Instructions: You are encouraged to work together on these problems. Perform the following tasks and present your work neatly and clearly. I want you to turn in your completed results, presented in a clear professional manner. Answer all questions in complete sentences when a written answer is required. 1. Find the value of r in [0, 27) that satisfies the following: sect=-1.2789, sin t <0. a) First, use a reciprocal identity to write an expression that represents the value of cost. (2 pts) b) Then, use the cos function on the calculator to find a solution (in radians) to the equation 1 ; in other words, apply cos to the positive version (the absolute value) of the sect expression you found in part (a) (round to four decimal places). (3 pts) Cost = c) What quadrant is the solution from part (b) located in? Draw a sketch of the terminal side of the angle in the coordinate plane. (3 pts) d) What quadrant should the solution to the original problem located in, given that cos/<0 and sin t <0? (3 pts) e) Use the reference angle found in part (b) to calculate the correct solution to the problem; that is, find the angle in the quadrant from part (d) that has the same reference angle as found in (b) (round to four decimal places). (3 pts)
2. (-1,0) TT 56 b) 0= 51 c) 0=5 5m 4m (0, -1) (0,1) N E/M/ 11m Instructions: For each of the given angles below, perform the following steps: (6 pts) 1. Draw a right triangle with the given angle labeled. 2. Assume the length of the hypotenuse is equal to 1 (and label it as such on your diagram). 3. Solve for the lengths of the two legs of the right triangle using properties of special triangles. 4. Use the results to label the point on the unit circle above corresponding to as an ordered pair. 5. Use the "symmetry" of the unit circle to label three other points on the unit circle as ordered pairs. 6. When you are finished, there should be a total of 16 ordered pairs labeled on the unit circle diagram above (including the four quadrantal points that are already labeled for you). a) 0= 0X (1,0)
and then for wuestion number 2 can you do A,B,C
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