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

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

Q 3: A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second? 5/3 12 4/6

Q 4: 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 5: In triangle ABC b = 4, c = 6, B = 30^{o}, find sin C. 4/3 3/4 1/2

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}? 200 metres 100 metres 240 metres

Q 7: A person standing on the bank of a river, observes that the angle subtended by a tree on the opposite bank is 60 degrees, when he retires 40 metres from the bank, he finds the angle to be 30 degrees. Find the height of the tree. 34 metres 64 metres 20 metres

Q 8: Find the radian measure of 15^{o}. /12 /6 /4

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