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CBSE Class 10 Answered

if (sin?)(cos?) = 1, then prove that sin ? +cos ? = ?3
Asked by Renoy Gladson | 13 Jul, 2013, 03:18: PM
answered-by-expert Expert Answer
(sin ? +cos ?)^2 = sin^2?  + cos^2?  + 2sin? cos
= 1 + 2(1) (sin^2?  + cos^2? = 1 and also, its given that (sin?)(cos?) = 1)
= 3
 
Hence, (sin ? +cos ?)^2 = 3
sin ? +cos ?  = root(3)

Answered by | 13 Jul, 2013, 07:17: PM

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