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: A vertical flagstaff stands on a horizontal plane from a point distant 150 metres from its foot, the angle of elevation of its top is found to be 30^{o}, find the height of the flagstaff. 100 metres 100.4 metres 113.4 metres

Q 2: 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 cm, B = 73^{o}C = 39^{o} 41^{l} a = 2.88 cm, B = 73^{o}19^{l}, C = 39^{o} 41^{l}

Q 3: cos 75^{o} Answer:

Q 4: The angular elevation of a tower from a point is 30 degrees at a point in a horizontal line to the foot of the tower and 100 metres near it is 60 degrees, find the distance of the first point from the tower. 100 metres 150 metres 86.6 metres

Q 5: In triangle ABC b = 4, c = 6, B = 30^{o}, find sin C. 1/2 3/4 4/3

Q 6: Find the length of an arc of a circle of radius 10 cm which subtends an angle of 45^{o} at the centre. 5/4 3/4 7/4

Q 7: The angles of a triangle ABC are in AP and b:c = 3^{1/2}:2^{1/2}. Find angle A. 45 degrees 60 degrees 75 degrees

Q 8: Find the radian measure of 15^{o}. /4 /12 /6

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!