The value of 152(sin30° + 2cos245° + 3sin30° + 4cos245° + ...... + 17…

Question

The value of 152(sin30° + 2cos245° + 3sin30° + 4cos245° + ...... + 17sin30° + 18cos245°) is?

Accepted Answer

Option C. A perfect square of an integer. Answer & Solution Answer: Option C Solution: 152 ( 30^ \, + \,2 co s^245^ \, + \,3 30^ \, + \,4 co s^245^ \, + \,.....\, + \,17 30^ \, + \,18 co s^245^ ) = 152 \ 1/2\, + \,2 ( 1 2 )^2\, + \,3\, × \,1/2\, + \,.....\,\, + \,17 × 1/2\, + \,18 ( 1 2 )^2 \ & = 152 \ 1/2\, + \,1\, + \…