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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: Find the degree measure of the angle subtended at the centre of a circle of diamter 200 cm by an arc of length 22cm.
12o36l
45o
33o

Q 2: If tan C = 11, find sin C. cos C.
Answer:

Q 3: Find the radian measure corresponding to -37o30l.
-5/24
-5/4
-5/8

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?
30o
60o
90o

Q 5: In a circle of diamter 40 cm, the length of a chord is 20 cm. Find the length of the minor arc of the chord.
20/3
/3
5/3

Q 6: The angle of elevation of the top of a tower which is yet incomplete at a point 120 metres from its base is 45o. How much higher should it be raised so that the elevation at the same point may become 60o?
87.84 metres
100 metres
36.85 metres

Q 7: In a triangle ABC, a = 2, b = 3 and sin A = 2/3, find angle B.
80 degrees
90 degrees
75 degrees

Q 8: The angles of a triangle ABC are in AP and b:c = 31/2:21/2. Find angle A.
60 degrees
75 degrees
45 degrees

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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