Review Midterm 3 •
The midterm will cover sections 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 6.1, 6.2, 6.3, and 6.4. •
You will have 80 minutes to take the exam in class on April 11th. •
The exam is 7 pages. You should complete 6 pages for credit and may choose to complete a 7th page for extra credit. You must indicate this choice according to the directions on the exam. If you fail to indicate your choice, I will choose for your and this may not be in your favor. •
You will be allowed to use 5x8 index card with hand written notes on both sides. Make sure it is truly a 5x8 index card and not something that closely resembles a 5x8 index card. •
You will NOT be allowed to use a calculator (or other electronics), notes, textbook, or your neighbor. •
You must show your work to receive credit. o
Your work should show your thinking and be organized & legible. •
Scratch paper will be provided; scratch work will not be graded. •
Bring your student ID and a pencil & eraser. You should be able to… • Convert between angle measures. o radians to degrees o degrees to radians • Find the reference angle of a given angle. • Find coterminal angles of a given angle. • State the arc length formula and understand how to use it. • Understand and use the unit circle, general circle, and right triangle definitions of trigonometric functions. • Evaluate exactly trigonometric functions of basic angles. π π
6 4
π
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o Basic angles include: quadrant angles, , , and • Construct the unit circle. • Identify the sign of the trigonometric function in each quadrant. π
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€ € of basic € angles (multiples of and • Evaluate exactly trigonometric functions π
) in quadrant 2-­‐ quadrant 4 using the reduction principle. 4
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• Analyze trigonometric functions (given equation or graph) o Identify Domain o Period o Amplitude (if applicable) o Transformations ( o Identify x-­‐intercepts & y-­‐intercepts o Identify asymptotes €
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Graph trigonometric functions and their transformation. Given the graph, write the equation of a trigonometric function. State the domain and range of the inverse trigonometric functions. Solve right-­‐triangle problems. Solve oblique triangle problems. o State the law of cosines and understand how to use it. o Understand the relationship between the Pythagorean theorem and the law of cosines. o State the law of sines and understand how to use it. o Identify whether given information about a triangle results in 0, 1, 2 or infinitely many triangles. Find the area of a triangle. Solve Trigonometric Equations (Find principle-­‐value, restricted, and complete solutions.) Use identities to rewrite or evaluate trigonometric expressions. Use definitions of the inverse trigonometric functions to rewrite or evaluate trigonometric expressions. Use definitions of inverse trigonometric functions and reference triangles to rewrite or evaluate expressions. Prove trigonometric identities.