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. Answer:

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

Q 3: Find the degree measure of 3/4. 35^{o} 42^{0}57^{l}18^{ll} 45^{o}

Q 4: In triangle ABC, a = 50, c = 60, b = 100 degrees, find b. 84.5 80 85

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

Q 6: 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 = 2.88 cm, B = 73^{o}19^{l}, C = 39^{o} 41^{l} a = 2 cm, B = 73^{o}C = 39^{o} 41^{l}

Q 7: 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

Q 8: In triangle ABC, a = 8.4 cm, b = 7.6 cm and c = 9.2 cm. Calculate the area of triangle ABC. 45 sq cm 30 sq cm 50 sq. cm

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!