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: Solve the triangle ABC given that A = 67^{o}, b = 3 cms, c = 2 cms. a = 2 cm, B = 73^{o}C = 39^{o} 41^{l} 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}

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

Q 3: cos 75^{o} Answer:

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

Q 6: The angles of a triangle ABC are in AP and b:c = 3^{1/2}:2^{1/2}. Find angle A. 75 degrees 60 degrees 45 degrees

Q 7: 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. 100 metres 86.6 metres 150 metres

Q 8: 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 20/3 5/3

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