Grade 9Discuss with colleagues and IITians
prove that(sin?+cos?)² - (sin?-cos?)² = 2sin2?
2 Answers
Chetan Mandayam Nayakar
(sinx+cosx)2-(sinx-cosx)2=(sin2x+cos2x+2sinxcosx)-(sin2x+cos2x-2sinxcosx)=4sin(x)cos(x)=2sin2x
shikhar mahajan
the ans. is 2
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