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: 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. 86.6 metres 150 metres 100 metres

Q 2: 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}? 240 metres 200 metres 100 metres

Q 3: In triangle ABC, a= 15 cm, B = 68 degrees, C = 43 degrees, find b, c and B. A = 60 degrees, b = 4 cm, c = 9 cm A = 60 degrees, b = 3 cm, c = 7 cm A = 69 degrees, b = 4.89 cm, c = 10.96 cm

Q 4: The sines of the angles of a triangle are in the ratio of 4:5:6, find the ratio of the cosines of the angles. 12:9:2 2:3:4 4:5:2

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

Q 6: In triangle ABC , if 2 cos A/a + cos B/b + 2 cos C/c = a/bc + b/ca. find angle A 45 degrees 30 degrees 90 degrees

Q 7: cos 75^{o} Answer:

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

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!