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

Q 2: Given cos T = 3/5, calculate the value of sin T, tan T. Answer:

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}? 200 metres 100 metres 240 metres

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

Q 5: 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. 120 metres 100 metres 115.36 metres

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

Q 7: If tan C = 11, find sin C. cos C. Answer:

Q 8: In triangle ABC , if 2 cos A/a + cos B/b + 2 cos C/c = a/bc + b/ca. find angle A 90 degrees 45 degrees 30 degrees

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!