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

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

Q 3: The elevation of a tower at a point 60 metres from it is cot^{-1}3/5 Obtain the height of the tower. 110 metres 45 metres 100 metres

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. 203^{1/2} m 20 m 100 m

Q 6: 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}? 100 metres 200 metres 240 metres

Q 7: The angle of elevation of the top of a tower which is yet incomplete at a point 120 metres from its base is 45^{o}. How much higher should it be raised so that the elevation at the same point may become 60^{o}? 100 metres 87.84 metres 36.85 metres

Q 8: Solve the triangle ABC given that A = 67^{o}, b = 3 cms, c = 2 cms. 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} a = 5 cm, B = 70^{o}19^{l}, C = 39^{o} 41^{l}

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Question 10: This question is available to subscribers only!