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Unit 9 Cumulative Review Homework Handout #2 Name: _________________ Use your notes from Unit 5 to write down how to determine the following when given the equation of a trigonometric function such as Y=Acos(Bx-C)+D or y=Asin(Bx-C)+D Amplitude = ____ Period = ____ OR ____ Phase Shift = ____ Vertical Shift = ____ You will have to KNOW these formulas for upcoming mini-quizzes, tests and the final exam! Determine the amplitude, period, phase shift, and vertical shift of the function. Then, graph 1 cycle of each function by plotting the FIVE key points. 1. y = 2sin(x) - 1 2. y = -cos(3θ) + 2 Amp = ____ Amp = ____ Period = ____ Period = ____ Phase Shift = ____ Phase Shift = ____ Direction: ______ Direction: ______ Vertical Shift = ____ Vertical Shift = ____ Direction = _______ Direction = _______ Solve the following problem related to trigonometric applications. HINT: Use SOH CAH TOA! 3. From a point on level ground 80 feet from the 4. A guy wire is attached from the ground to a pole base of the Eiffel Tower, the angle of elevation is 6.7 yards above the ground. The wire makes a 29° 85.4°. Approximate the height of the Eiffel angle with the ground. Find the length of the guy Tower to the nearest foot. wire to the nearest tenth of a foot. Law of Cosines (Given on exam): a2 = b2 +c2 -2bccosA b2 = a 2 +c2 -2accosB Law of Sines (Given on exam): sinA = sinB = sinC a c b c2 = a 2 + b2 -2abcosC Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. NEATLY SHOW your WORK! 5. Solve the triangle with A=64°, C=82°, and c=14. B= ______ a= _______ b=______ 7. Solve the triangle with A=120°, b=7, and c=8. a= ______ B= _______ C=______ 6. Solve triangle ABC if b=41, A=33°, B=29°. C= ______ a= _______ c=______ 8. Solve triangle ABC if a=8, b=10, and c=5. B= ______ A= _______ C=_______