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# Math 160 Precalculus Mathematics

• ###### If you are considering taking a lower-level class than Math 160:
• We encourage you to consider taking the corequisite course—Math 16—which provides additional support for Math 160.
• The next level lower is Math 150 (Trigonometry).

• ###### Sample of what you should know before taking Math 160:
1. Solve the rational equation: • Solution        2. Given that , evaluate • Solution     3. Solve the logarithmic equation: • Solution       4. Sketch the graphs of for • Solution
f(x) g(x) 5. Solve the following trigonometric equations: for • Solution  • ###### Sample of what you will learn in Math 160:
1. Solving equations of n-degree polynomial:  How many complex and real zeros does the function have?
• Solution
Possible rational solutions: Check x = 1.  Synthetic Division: Check x = 3/2.  Synthetic Division: So,  Zeros of f(x) are: 2. Solve the trigonometric equation: • Solution      3. Graph the rational function: • Solution  x-intercept: y-intercept: Vertical asymptotes: Horizontal asymptote:  4. An airplane is flying on bearing of at 500 mph.  A wind is blowing with bearing of at 40 mph.  Find the actual ground speed and direction of the plane.
• Solution      The result vector with respect to the ground:   ground speed: direction: True direction: 5. Determine whether the infinite geometric series converges. If it does, find its sum. • Solution The series is convergent, and its sum: 