CBSE Class 12-science Answered
if sin a/2 + cos a/2 = -1/2, then sin2a equals..........??
Asked by SHIVANI_SOOD | 14 Apr, 2010, 17:25: PM
Expert Answer
sin a/2 + cos a/2 = -1/2
Square on both sides,
sin2 a/2 + 2sina/2 cosa/2 + cos2 a/2 = 1/4
1 + 2sina/2 cosa/2 = 1/4
1 + sin a = 1/4
Hence sin a = -3/4
and cos a = 
(1 - 9/16) =7/4.
sin 2a = sina cosa = (-3/4)(7/4) = -37/16
Regards,
Team,
TopperLearning.
Answered by | 15 Apr, 2010, 10:19: AM
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