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 angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length 15 cm 2/5 1/3 1/5

Q 2: 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 3: 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 4: Find the radian measure corresponding to -37^{o}30^{l}. -5/24 -5/4 -5/8

Q 5: In triangle ABC , if 2 cos A/a + cos B/b + 2 cos C/c = a/bc + b/ca. find angle A 90 degrees 30 degrees 45 degrees

Q 6: 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}? 87.84 metres 100 metres 36.85 metres

Q 7: From the light house the angles of depression of two ships on opposite sides of the light house are observed to be 30^{o} and 45^{o}. If the height of the light house is 300 metres, find the distance between the ships if the line joining them passes through foot of the light house. 809 metres 800 metres 819.6 metres

Q 8: 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. 100 m 20 m 203^{1/2} m

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