In Exercises 19 and 20 , determine whether the lines through the pairs of points are parallel. A ( 2 , 3 ) , B ( 2 , − 2 ) and C ( − 2 , 4 ) , D ( − 2 , 6 )
In Exercises 19 and 20 , determine whether the lines through the pairs of points are parallel. A ( 2 , 3 ) , B ( 2 , − 2 ) and C ( − 2 , 4 ) , D ( − 2 , 6 )
Solution Summary: The author explains that the lines through the given pairs of points are parallel. The formula to calculate the slope of the line between two points is m.
For each graph below, state whether it represents a function.
Graph 1
24y
Graph 2
Graph 3
4
2
-8
-6 -4
-2
-2
2 4 6
Function?
○ Yes
○ No
○ Yes
○ No
Graph 4
Graph 5
8
Function?
Yes
No
Yes
No
-2.
○ Yes
○ No
Graph 6
4
+
2
4
-8 -6 -4 -2
2 4 6
8
Yes
-4++
No
Students were asked to simplify the expression (secØ - cosØ)/secØ Two students' work is given.Student A: step 1 secØ/secØ - cosØ/secØstep 2 cosØ/1 - (1/cosØ)step 3 1 - cos^2Østep 4 sin^2ØStudent B: step 1 (1/cosØ)-cosØ)/secØstep 2 (1 - cos^2Ø/cosØ)/secØstep 3 sin^2Ø/cos^2Østep 4 tan^2ØPart A: Which student simplified the expression incorrectly? Explain the errors that were made or the formulas that were misused.Part B: Complete the student's solution correctly, beginning with the location of the error.
Although 330° is a special angle on the unit circle, Amar wanted to determine its coordinates using the sum and difference formulas.Part A: Determine cos 330° using the cosine sum identity. Be sure to include all necessary work.Part B: Determine sin 330° using the sine difference identity. Be sure to include all necessary work.
Chapter 1 Solutions
WebAssign Printed Access Card for Tan's Finite Mathematics for the Managerial, Life, and Social Sciences, 12th Edition, Single-Term
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