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High School Mathematics - 2
10.18 Trignometry Review

Function 0o 30456090
sin 0/2 1/22/23/24/2
cos 4/2 3/22/21/20
tan 0 3/313undefined
sec 1 23/322undefined
csc undefined 2223/31
cot undefined 313/30

sin cos tan
0 0 1 0
90 1 0 infinity
180 0 -1 0
270 -1 0 infinity




Functions of angles in all quadrants in terms of those in quadrant 1
-A 900 A
P/2 A
1800 A
P A
2700 A
3P/2 A
3600 A
2P A
sin -sinA cos A sin A -cosA sin A
cos cos A sin A -cos A sin A cos A
tan -tan A cot A tan A cot A tan A
csc -csc A sec A csc A -sec A csc A
sec sec A csc A -sec A csc A sec A
cot -cot A tan A cot A tan A cot A

Q 1: If the shadow of a tower is 30 metres, when the sun's altitude is 30o, what is the length of the shadow when the sun's altitude is 60o?
200 metres
100 metres
240 metres

Q 2: Find the angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length 10 cm
4/15
2/15
3/15

Q 3: The angular elevation of a tower from a point is 30 degrees at a point in a horizontal line to the foot of the tower and 100 metres near it is 60 degrees, find the distance of the first point from the tower.
100 metres
86.6 metres
150 metres

Q 4: What is the angle of elevation of the sun when the length of the shadow of a pole is 31/2 times the height of the pole?
60o
30o
90o

Q 5: If tan C = 11, find sin C. cos C.
Answer:

Q 6: In triangle ABC, a = 50, c = 60, b = 100 degrees, find b.
80
85
84.5

Q 7: Show that cot x.cot 2x - cot 2x cot 3x - cot 3x cot x = 1
Answer:

Q 8: A vertical flagstaff stands on a horizontal plane from a point distant 150 metres from its foot, the angle of elevation of its top is found to be 30o, find the height of the flagstaff.
100 metres
100.4 metres
113.4 metres

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Question 10: This question is available to subscribers only!


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