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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: In triangle ABC, if b = 6, c = 4, cos A = 1/12, find a
4
31/2
4.31/2

Q 2: In triangle ABC , if 2 cos A/a + cos B/b + 2 cos C/c = a/bc + b/ca. find angle A
30 degrees
45 degrees
90 degrees

Q 3: From the light house the angles of depression of two ships on opposite sides of the light house are observed to be 30o and 45o. If the height of the light house is 300 metres, find the distance between the ships if the line joining them passes through foot of the light house.
809 metres
800 metres
819.6 metres

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

Q 5: 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
90o
60o

Q 6: Solve the triangle ABC given that A = 67o, b = 3 cms, c = 2 cms.
a = 2 cm, B = 73oC = 39o 41l
a = 5 cm, B = 70o19l, C = 39o 41l
a = 2.88 cm, B = 73o19l, C = 39o 41l

Q 7: 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 8: Find the radian measure of 15o.
/12
/4
/6

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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