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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


Name: ___________________

Date:___________________

High School Mathematics - 2
10.18 Trignometry Review

Q 1: Find the radian measure corresponding to -37o30l.
-5/8
-5/24
-5/4

Q 2: Find the length of an arc of a circle of radius 10 cm which subtends an angle of 45o at the centre.
5/4
7/4
3/4

Q 3: The sines of the angles of a triangle are in the ratio of 4:5:6, find the ratio of the cosines of the angles.
4:5:2
12:9:2
2:3:4

Q 4: If in two circlesarcs of the same length subtend angles 60o and 75o at the centre, find the ratio of their radii.
2:3
1:2
5:4

Q 5: 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
113.4 metres
100.4 metres

Q 6: The elevation of a tower at a point 60 metres from it is cot-13/5 Obtain the height of the tower.
45 metres
110 metres
100 metres

Q 7: 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 8: The angles of a triangle ABC are in AP and b:c = 31/2:21/2. Find angle A.
45 degrees
75 degrees
60 degrees

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