Mixed Graph and Trigonometry Problems
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(See attached files for full problem descriptions)
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Problem Set 3:
1) Where does the graph of the equation y=mx+b cross the x-axis?
A) b B) m/b C b/m D) - (b/m) E) -(m/b)
2)What angle does the line y=mx+b make with the x-axis?
A) tan^-1(m/b) B) tan^-1(b/m) C) tan^-1(m) D) tan^-1(b) E) x/y
3) There are five students for each prof. Let S= the number of students, and P= the number of profs. A correct expression for this is?
A) P=15S B) S=15P C) S=P+15 D) S+15=P E) S=P
4) Match the equations with the graphs on the x-y plane below.
30) y= x/3 -1 _____________
31) y= -x/3 -1_____________
32) y=2 _____D________
33) x=2 ______B________
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Problem set 4
(see attachment for diagram)
Use the triangle above to answer questions with answers below.
A) 0.5 B) 0.6 C) 0.75 D) 0.8 E 1.33
1) tan theta =
2) sin theta =
3) cos phi =
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2) Use the attached diagram to answer the following with answers of A) 80 degrees B) 100 degrees C) 120 degrees D) 190 degrees E) 200 degrees
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Solution Summary
The solution answers a number of problems do with with graph line equations and angles. Mixed graphs and trigonometry problems are analyzed.
Solution Preview
Please see the attached document.
Problem Set3:
1) Where does the graph of the equation y=mx+b cross the x-axis?
A) b B) m/b C b/m D) - (b/m) E) -(m/b)
Hint: When a line crosses the x axis, its y value will be zero at the crossing point. So put y = 0 in the equation and find x
0 = mx + b x = (-b/m)
2)What angle does the line y=mx+b make with the x-axis?
A) tan^-1(m/b) B) tan^-1(b/m) C) tan^-1(m) D) tan^-1(b) E) x/y
For the line y=mx+b, the slope of the line is given by m. The angle is given by the inverse Tangent of the slope. So angle = Tan-1(m)
3) There are five ...
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