Q1 of 62 Page 63

cos x = –, x lies in third quadrant.

Given, , x lies in 3rd quadrant

sin2x + cos2x = 1





(∵ x lies in 3rd quadrant)


Now,






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6

If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii.

 7

Find the angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length

(i) 10 cm


(ii) 15 cm


(iii) 21 cm

 2

sin x =, x lies in second quadrant.

 3

cot x = , x lies in third quadrant.