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The value of the expression `(2(sin1^@+sin2^@+sin3^@+....+sin89^@))/(2(cos1^@+cos2^@+....+cos44^@)+1)` equals
A. `sqrt(2)`
B. `1sqrt(2)`
C. `1//2`
D. 0

1 Answer

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Best answer
Correct Answer - A
Numerator `=2[(sin 1^(@)+sin89^(@))+(sin2^(@)+sin88^(@))+........+(sin 44^(@)+sin46^(@))+sin45^(@)]`
`rArr("Numerator")/("Denominator")`
`=2[sin 45^(@){cos44^(@)+cos43^(@)+.......+cos1^(@))+1}]`
`=2sin45^(@)=sqrt(2)`.

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