Survey

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Survey

Document related concepts

Transcript

Review 5-1 – 5-6 Functions Trigonometry Review Name:________________________ Hour:_________________________ No Calculator 1. Convert 7 radians to revolutions. 5 7/10 rev. 2. Convert 300o to radians and also revolutions, use exact values. 5π/3 ; 5/6 rev. 3. Name a quadrant where sin x <0, cos x > 0 and tan x >0. not possible 4. The point (1, 0) is rotated 150o about the origin. State its exact new location without using trigonometric ratios in your answer. (-√3/2, 1/2) 5. Find the exact value for sin 960o tan 7 6 -√3/2 1/√3 6. Sketch the graph of two periods of the graph f(x) = tan x. (Label your axes and use radians for your angle measure) 7. Name two exact points where the graphs of f(x) = cos x and g(x) = sin x intersect. (π/4, √2/2) and (5π/4, -√2/2) 8. Give all solutions for cos 150, 510, 210, 570 3 2 for 0o 720o . 9. Write at least three sentences explaining why tan 88.9o is a large number. Talk about how sine and cosine are used to define tangent Calculator 10. What is the measure of the smallest angle in a right triangle with sides 11, 60, and 61? about 10.39 degrees 11. To the nearest degree, name four angles between 360o and 1080o, whose sine equals .42. 385, 745, 515, 875 12. Convert 137 degrees into radians, round your answer to the nearest tenth. 2.4 13. Solve for x in degrees: tan x = 16.85. Write an expression that represents all possible answers. 86.6 + 180n, n ε Integers 14. A forty foot tree casts a 17 yard shadow. What is the angle of elevation of the sun? 38.1 degrees 15. List at least three different ways that we have defined tangent in this chapter. sin/cos; slope of a line ; opposite over adjacent B 16. The cloth on a hand-held fan shown at the right needs to be replaced. AB=10cm, BM = 3cm, and mABC 120o . If the fan can be thought of as a sector of a circle, find the area of the cloth. (Round your answer to the nearest hundredth 100π/3 - 49π/3 = 51π/3 = 53.41 cm2 M A C 17. In a right triangle, the side opposite a 43o angle has a length of 23.57. Find the length of the hypotenuse rounded to the nearest hundredth. 34.56 18. 6 2 4 Simplify cos(2) sin tan e0 (1)128 cos(111)