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

Q 2: 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 113.4 metres 100.4 metres

Q 3: Find the degree measure of 3/4. 42^{0}57^{l}18^{ll} 35^{o} 45^{o}

Q 4: 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 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 horizontal distance between two towers is 60 metres and the angular depression of the top of the first as seen from the top of the second, which is 150 metres is 30^{o}. Find the height of the first. 120 metres 100 metres 115.36 metres

Q 7: Given cos T = 3/5, calculate the value of sin T, tan T. Answer:

Q 8: The sines of the angles of a triangle are in the ratio of 4:5:6, find the ratio of the cosines of the angles. 4:5:2 12:9:2 2:3:4

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