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

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

Q 3: In triangle ABC, a = 50, c = 60, b = 100 degrees, find b. 80 84.5 85

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

Q 5: In a circle of diamter 40 cm, the length of a chord is 20 cm. Find the length of the minor arc of the chord. /3 5/3 20/3

Q 6: What is the angle of elevation of the sun when the length of the shadow of a pole is 3^{1/2} times the height of the pole? 60^{o} 30^{o} 90^{o}

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 = 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}

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Question 10: This question is available to subscribers only!