High School Mathematics - 2 10.18 Trignometry Review

Function

0^{o}

30°

45°

60°

90°

sin

Ö0/2

Ö1/2

Ö2/2

Ö3/2

Ö4/2

cos

Ö4/2

Ö3/2

Ö2/2

Ö1/2

0

tan

0

Ö3/3

1

Ö3

undefined

sec

1

2Ö3/3

Ö2

2

undefined

csc

undefined

2

Ö2

2Ö3/3

1

cot

undefined

Ö3

1

Ö3/3

0

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

90^{0} ± A P/2 ± A

180^{0} ± A P ± A

270^{0} ± A 3P/2 ± A

360^{0} ± 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: What is the angle of elevation of the sun when the length of the shadow of a pole is 3^{1/2} times the height of the pole? 30^{o} 90^{o} 60^{o}

Q 2: If the shadow of a tower is 30 metres, when the sun's altitude is 30^{o}, what is the length of the shadow when the sun's altitude is 60^{o}? Answer:

Q 3: The horizontal distance between two towers is 60 metres and the angular depression of the top of the first as seen from the top of the second, which is 150 metres is 30^{o}. Find the height of the first. 115.36 metres 100 metres 120 metres

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

Q 5: Find the degree measure of the angle subtended at the centre of a circle of diamter 200 cm by an arc of length 22cm. 33^{o} 12^{o}36^{l} 45^{o}

Q 6: In triangle ABC, a = 8.4 cm, b = 7.6 cm and c = 9.2 cm. Calculate the area of triangle ABC. 30 sq cm 45 sq cm 50 sq. cm

Q 7: Find the degree measure of 3/4. 45^{o} 35^{o} 42^{0}57^{l}18^{ll}

Q 8: Solve the triangle ABC given that A = 67^{o}, b = 3 cms, c = 2 cms. a = 5 cm, B = 70^{o}19^{l}, C = 39^{o} 41^{l} a = 2.88 cm, B = 73^{o}19^{l}, C = 39^{o} 41^{l} a = 2 cm, B = 73^{o}C = 39^{o} 41^{l}

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!