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. 113.4 metres 100 metres 100.4 metres

Q 2: Find the radian measure corresponding to -37^{o}30^{l}. -5/24 -5/8 -5/4

Q 3: If tan C = 11, find sin C. cos C. Answer:

Q 4: Show that cot x.cot 2x - cot 2x cot 3x - cot 3x cot x = 1 Answer:

Q 5: The angle of elevation of the top of a tower from a point 60m from its foot is 30^{o}. Find the height of the tower. 20 m 100 m 203^{1/2} m

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

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!