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: Given cos T = 3/5, calculate the value of sin T, tan T. Answer:

Q 2: 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 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 100 metres 200 metres

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

Q 5: Find the degree measure of the angle subtended at the centre of a circle of diamter 200 cm by an arc of length 22cm. 45^{o} 12^{o}36^{l} 33^{o}

Q 6: If in two circlesarcs of the same length subtend angles 60^{o} and 75^{o} at the centre, find the ratio of their radii. 5:4 1:2 2:3

Q 7: A vertical flagstaff stands on a horizontal plane from a point distant 150 metres from its foot, the angle of elevation of its top is found to be 30^{o}, find the height of the flagstaff. 100 metres 100.4 metres 113.4 metres

Q 8: In a triangle ABC, a = 2, b = 3 and sin A = 2/3, find angle B. 90 degrees 75 degrees 80 degrees

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