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

Q 2: If tan C = 11, find sin C. cos C. Answer:

Q 3: Find the radian measure corresponding to -37^{o}30^{l}. -5/24 -5/4 -5/8

Q 4: 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} 60^{o} 90^{o}

Q 5: 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 6: 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 7: In a triangle ABC, a = 2, b = 3 and sin A = 2/3, find angle B. 80 degrees 90 degrees 75 degrees

Q 8: The angles of a triangle ABC are in AP and b:c = 3^{1/2}:2^{1/2}. Find angle A. 60 degrees 75 degrees 45 degrees

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!