SSC CGL 2013 Tier 1 - 21 April

Question 40

The value of 152(sin 30°+2cos^{2} 45°+3 sin 30°+4cos^{2}45°+.....+17sin30°+18cos^{2}45°) is

Solution

Given , 152(sin 30°+2cos^{2} 45°+3 sin30°+4cos^{2}45°+.....+17sin30°+18cos^{2}45°)
Rearranging , sin 30°and cos^{2}45° terms
152[((1+3+5...+17)sin 30°)+((2+4+...+18)cos^{2}45°)]
152[(81*0.5) + (90*0.5)]
12996
114^{2}




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