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? 90^{o} 60^{o} 30^{o}

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

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

Q 4: Find the radian measure of 15^{o}. /6 /12 /4

Q 5: The angle of elevation of the top of a tower which is yet incomplete at a point 120 metres from its base is 45^{o}. How much higher should it be raised so that the elevation at the same point may become 60^{o}? 87.84 metres 100 metres 36.85 metres

Q 6: From the light house the angles of depression of two ships on opposite sides of the light house are observed to be 30^{o} and 45^{o}. 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. 819.6 metres 800 metres 809 metres

Q 7: In triangle ABC b = 4, c = 6, B = 30^{o}, find sin C. 3/4 4/3 1/2

Q 8: A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second? 12 4/6 5/3

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!