1.

Let f(x) ={:{( sin x +cos x, 0 lt x lt (pi)/(2) ),(a, x = pi//2) , ( tan ^(2)x + cosecx , pi//2lt xlt pi ):} then its odd extension is

Answer»

`{:{(-tan^(2)X-cosec",",-PI lt x lt - pi/2),(-a",",x= - pi//2),(-sin x + cos x",",-pi//2 lt x lt 0):}`
`{:{(tan x^(2)+cosec"," ,-pi lt x lt - pi/2),(-a",",x = - pi//2),(sin x - cos x",",-pi//2 lt x lt 0):}`
`{:{(-TANX^(2)+cosecx",",-pi lt x lt - pi/2),(+a",",x = - pi//2),(sin x - cos x",",-pi//2 lt x lt0):}`
`{:{(tanx^(2)+cos x",",-pi lt x lt - pi/2),(-a",",x = - pi//2),(sin x + cos x",",- pi//2 lt x lt 0):}`

Answer :B


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