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Q.

Match the items of list-A with those of entries of List B
 

 List-A List-B
A)sin25°+sin210°+sin215° +.....+sin290°=i)0
B)tan25°.tan210°.tan215° tan285°=ii)19/2
C)cos25°+cos210°+cos215° ++cos2180°=iii)18
D)cot5°+cot10°+cot15° ++cot175°=iv)1
  v)-1
 (A)(B)(C)(D)
1)iiiviiii
2)iiviiii
3)iiiiiii
4)iiiiiivv

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a

1

b

2

c

3

d

4

answer is A.

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Detailed Solution

(i)A+B=90°sin2A+sin2B=1
sin25+sin280+sin210+sin280+..+sin250+sin240+sin245+sin290=8+12+1=192
 (ii) A+B=90tanAtanB=1tan25tan210tan285=1

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