Exercises-Trig - MA100 Fall 2010 PART 1 Precalculus...

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Unformatted text preview: MA100, Fall 2010, PART 1: Precalculus Trigonometry - Exercises 1) Represent on the trigonometric circle the points corresponding to the angles: a) π b) 3 π/ 2 c)- π/ 2 d) 4 π/ 3 e) 7 π/ 2 f)- 5 π/ 2 h)- 11 π/ 3 i) 1273 π/ 3 2) Without using a calculator, determine the sign of the numbers: a) sin 5 π 4 b) cos 17 π 8 c) sin 9 π 5 d) cos 9 π 5 e) sin 11 π 5 f) sin 16 π 5 h) sin 23 π 5 i) sin 273 π 11 3) Let ABC be a right triangle such that the angle ∠ A = π/ 2 . Find all of the lengths and angles of the triangle if a) | BC | = 4 and | AB | = 2 b) | AB | = √ 3 and ∠ B = π 6 4) Let ABC be a right triangle such that the angle ∠ A = π/ 2 . Show that a) (sin B + sin C ) 2 + (cos B- cos C ) 2 = 2 b) sin 2 A + sin 2 B + sin 2 C = 2 5) Determine the range of the functions f : R → R a) f ( x ) = 1 + sin x b) f ( x ) =- 1 + cos x c) f ( x ) = 2 cos x + 3 d) f ( x ) = | sin x | e) f ( x ) = | sin x | - sin x f) f ( x ) = 3- 2 | sin x | 6) Determine the domain of the functions:...
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Exercises-Trig - MA100 Fall 2010 PART 1 Precalculus...

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