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 angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length 15 cm 1/5 1/3 2/5

Q 2: A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second? 5/3 4/6 12

Q 3: 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 4: In triangle ABC, if b = 6, c = 4, cos A = 1/12, find a 4 4.3^{1/2} 3^{1/2}

Q 5: In triangle ABC, a = 8.4 cm, b = 7.6 cm and c = 9.2 cm. Calculate the area of triangle ABC. 50 sq. cm 45 sq cm 30 sq cm

Q 6: If tan C = 11, find sin C. cos C. Answer:

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. /3 20/3 5/3

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

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!