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Trigonometry and Sine Graph Test

1. The document contains a math test with 9 questions about trigonometry concepts like solving triangles, using trig functions like sine and tangent, finding related angles, using definitions, and applying trigonometric ratios to real-world problems. 2. Questions involve skills like sketching graphs, finding missing angles and side lengths, using trig functions without a calculator, identifying asymptotes, and solving applied problems about dam heights. 3. The final two questions involve sketching and solving triangles using given side lengths, angles, and trigonometric information.

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1jerusha
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136 views5 pages

Trigonometry and Sine Graph Test

1. The document contains a math test with 9 questions about trigonometry concepts like solving triangles, using trig functions like sine and tangent, finding related angles, using definitions, and applying trigonometric ratios to real-world problems. 2. Questions involve skills like sketching graphs, finding missing angles and side lengths, using trig functions without a calculator, identifying asymptotes, and solving applied problems about dam heights. 3. The final two questions involve sketching and solving triangles using given side lengths, angles, and trigonometric information.

Uploaded by

1jerusha
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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MCR3U Unit 4 Evaluation Name:

(Test)

1. Solve the following triangles (4 marks each – 2K 2A)


a. Triangle HIJ, where h = 20, i = 11, and H = 90

b. Triangle XYZ, where x = 12, y = 13 and Z = 90.

2. Sketch the sine graph in the space below, labelling and scaling both the x and y axes (3K
2C). Use the graph to explain the ambiguous case of the sine rule (1I)
MCR3U Unit 4 Evaluation Name:
(Test)

3. Given that tan 49 °=1.15, find the following without using your calculator (show your
working) (3 marks each – 1K, 2C)

a. tan131 °

b. tan229 °

4. Given the acute angle of 24, find the 3 related angles between 0 and 360. Show the
angles on a diagram, and state which of the 3 angles has a positive sine ratio (3K 2C)

5. Give a definition for the term ‘asymptote’, using an example from this unit. (2C 1A)
MCR3U Unit 4 Evaluation Name:
(Test)

6. Find the length of RT to the nearest cm (2K 2A)

R = 38, US = 43cm, T = 52. Both angles at S are 90.

S U

7. Find YZ to the nearest tenth of a meter (5 marks - 2K 3A).


a. X = 102.3, Z = 42.2, WX = 15.6cm and the acute angle at Y is 51.9.
W

X Z
Y
MCR3U Unit 4 Evaluation Name:
(Test)

8. The highest dam in Canada is the Mica Dam. From a point 600m from the foot of the
dam, the angle of elevation (measured from the ground looking up) to the top of the
dam is 22. What is the height of the dam, to the nearest metre? (4 marks – 2K 2I)

9. Draw and solve each of the following triangles:

a. Triangle ABC where a = 9.6cm, b = 20.6 cm and c = 14.7 cm (5 marks – 2K 3A)


MCR3U Unit 4 Evaluation Name:
(Test)

b. Triangle EFG where e = 46cm, E = 25 and f = 51 cm. (7 marks - 3K 4I)

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