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. 150 metres 100 metres 86.6 metres

Q 2: In triangle ABC, a = 8.4 cm, b = 7.6 cm and c = 9.2 cm. Calculate the area of triangle ABC. 50 sq. cm 30 sq cm 45 sq cm

Q 3: 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 4: 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. 800 metres 809 metres 819.6 metres

Q 5: 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}? Answer:

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 b = 4, c = 6, B = 30^{o}, find sin C. 1/2 3/4 4/3

Q 8: cos 75^{o} Answer:

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