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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?
Answer:

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
2/15
4/15
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
150 metres
86.6 metres

Q 4: Solve the triangle ABC given that A = 67o, b = 3 cms, c = 2 cms.
a = 5 cm, B = 70o19l, C = 39o 41l
a = 2 cm, B = 73oC = 39o 41l
a = 2.88 cm, B = 73o19l, C = 39o 41l

Q 5: A person standing on the bank of a river, observes that the angle subtended by a tree on the opposite bank is 60 degrees, when he retires 40 metres from the bank, he finds the angle to be 30 degrees. Find the height of the tree.
20 metres
34 metres
64 metres

Q 6: In triangle ABC b = 4, c = 6, B = 30o, find sin C.
3/4
4/3
1/2

Q 7: Find the degree measure of the angle subtended at the centre of a circle of diamter 200 cm by an arc of length 22cm.
45o
12o36l
33o

Q 8: In triangle ABC, a = 50, c = 60, b = 100 degrees, find b.
80
84.5
85

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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