find the value of sin15

Asked by kanishkapanwar2424 | 12th Sep, 2015, 12:02: PM

Expert Answer:

W e space k n o w space t h a t comma space s i n 15 degree equals s i n open parentheses 45 degree minus 30 degree close parentheses A n d space w e space a l s o space k n o w space t h a t comma space s i n open parentheses A minus B close parentheses equals s i n A c o s B minus c o s A s i n B rightwards double arrow s i n 15 degree equals s i n open parentheses 45 degree minus 30 degree close parentheses rightwards double arrow s i n 15 degree equals s i n 45 degree c o s 30 degree minus c o s 45 degree s i n 30 degree rightwards double arrow s i n 15 degree equals fraction numerator 1 over denominator square root of 2 end fraction cross times fraction numerator square root of 3 over denominator 2 end fraction minus fraction numerator 1 over denominator square root of 2 end fraction cross times 1 half rightwards double arrow s i n 15 degree equals fraction numerator square root of 3 minus 1 over denominator 2 square root of 2 end fraction

Answered by Vimala Ramamurthy | 12th Sep, 2015, 04:14: PM