Q. 165.0( 3 Votes )

Mark the correct A. 7

B. 8

C. 9.5

D. 10

Answer :

=sin25+sin210+sin215+.......sin245+...........+sin275+sin280+sin285+sin290


We know that sin(90-x) =cos x


So sin2(90-x)= cos2x


=sin25+sin210+sin215+.......sin245+...........+cos215+cos210+cos25+sin290


And sin2x+cos2x= 1


So, in given series on rearranging terms we get 8 cases where sin2x+cos2x= 1


So, given changes to


8+sin245+sin290




= 9.5

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