sin10sin20sin30sin3600sin10sin20sin30sin40sin180si
sin10+sin20+sin30+....+sin360=0sin10+sin20+sin30+sin40+...sin180+sin(360-170)+......+sin(360-40)+sin(360-30)+sin(360-20)+sin360-10)+sin360sin360-x=-sinxhence all terms cancel and sin10+sin20+sin30+....+sin360=0
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tan9x tan7x tan2x1 - tan7xtan2xhere its given1 - tan2xtan7x 0impliestan9x infinitysincetan9x 3tan3x - tan33x1 - 3tan2 3x infinityimplies1-
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sin10sin20sin30sin3600sin10sin20sin30sin40sin180sin360-170sin360-40sin360-30sin360-20sin360-10sin360sin360-x-sinxhence all terms cancel and
if tanxsecxsqr rt 3 0ltxlt180 then x is equal toans
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