Grade 11 Trigonometry Test
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Name:____________________ Daniel McIntyre Collegiate Institute Grade 11 Pre-Calculus Trigonometry Test Part I Multiple Choice Instructions: Circle the best response. 1. An equation representing a downward shift of 2 units of the graph is: a) b) c) d) 2. If and , then θ must terminate in: a) Quadrant I b) Quadrant II c) Quadrant III d) Quadrant IV 3. Which of the following is NOT a related angle of 20°? a) 340° b) 160° c) 200° d) 250° 4. If θ is an angle in standard position and its terminal side passes through the point on a unit circle, a possible value of θ is: a) 120° b) 60° c) 150° d) 30° 5. The range of is: a) b) c) d)
Transcript of Grade 11 Trigonometry Test
Name:____________________
Daniel McIntyre Collegiate Institute Grade 11 Pre-Calculus Trigonometry TestPart I Multiple Choice Instructions: Circle the best response. 1. An equation representing a downward shift of 2 units of the graph y = sin + 4 is: a) y = 2 sin + 4 c) y = sin + 2 b) y = 2 sin + 4 d) y = sin 2
2. If tan > 0 and cos < 0 , then must terminate in: a) Quadrant I IV b) Quadrant II c) Quadrant III d) Quadrant
3. Which of the following is NOT a related angle of 20? a) 340 b) 160 c) 200 d) 250
4. If is an angle in standard position and its terminal side passes through the point1 3 , 2 2 on
a unit circle, a possible value of is: b) 60 c) 150 d) 30
a) 120
5. The range of f ( x ) = x 2 + 4 x + 3 is: 1 ,3 a) ( , ] b) ( ] c) [ ,1) , d) (7]
6. Evaluate (16 ) cos 270 a) -16
b) 0
c)
1 1 6
d) 1
Part II Short Answer Answer each of the following questions to the best of your ability ( 2 marks each ) 1. Find the roots of: f ( x) = 6 x 2 5 x 6 algebraically. *You must show your work*
Answer:____________________ 2. Find the vertex of y = 4 x 2 + 36 x +1 algebraically. *You must show your work*
Answer:____________________ 3. If sin = 12 and tan > 0 , determine the value(s) of where 0 360 . 13
Answer:____________________3 and the angle is not in Quadrant I, what is the value of the 5
4. If the sine of an angle is cosine of the angle?
Answer:____________________ 5. Graph: y = 7 cos Label everything correctly!!
6. Solve for : cos 2 = cos where 0 360
Part III Long Answer
Instructions: Answer each of the following questions as completely as you can. If your work is too messy or disorganized and I cannot follow it, that question will not be graded and will receive a mark of zero. 1. Solve y = 6 cos 2 7 cos 3 on the interval 0 360. ( 4 marks )
2. In MNP, M = 13 , m = 12, and n = 15. Find all possible values of p. ( 5 marks )
3. The path of a basketball shot can be modeled by the equation
h( d ) = 0.09 d 2 + 0.9d + 2
where h(d) is the height of the basketball, in meters and d is the horizontal distance of the ball from the player in meters. ( 5 marks ) a) What is the maximum height reached by the ball? *You must show your work*
Answer:____________________
b) What is the horizontal distance of the ball from the player when it reaches its maximum height?
Answer:____________________
