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prove that(sin?+cos?)² - (sin?-cos?)² = 2sin2?

prove that(sin?+cos?)² - (sin?-cos?)² = 2sin2?

Grade:9

2 Answers

Chetan Mandayam Nayakar
312 Points
8 years ago

(sinx+cosx)2-(sinx-cosx)2=(sin2x+cos2x+2sinxcosx)-(sin2x+cos2x-2sinxcosx)=4sin(x)cos(x)=2sin2x

shikhar mahajan
16 Points
8 years ago

the ans. is 2

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