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Q.

Four numbers n1,n2,n3 and n4 are given as n1=sin⁡15∘−cos⁡15∘,n2=cos⁡93∘+sin⁡93∘,n3=tan⁡27∘−cot⁡27∘,n4=cot⁡127∘+tan⁡127∘ then

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a

n1<0

b

n2<0

c

n3<0

d

n4<0

answer is A.

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Detailed Solution

n1=sin⁡15∘−cos⁡15∘<−ve          cos⁡15∘>sin⁡15∘n2=cos⁡93∘+sin⁡93∘                     cos⁡3∘>sin⁡3∘=−sin⁡3∘+cos⁡3∘>0                  tan⁡27∘
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Four numbers n1,n2,n3 and n4 are given as n1=sin⁡15∘−cos⁡15∘,n2=cos⁡93∘+sin⁡93∘,n3=tan⁡27∘−cot⁡27∘,n4=cot⁡127∘+tan⁡127∘ then