Ammarah
  • Ammarah
Solve: sinx + cosx = 1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
\[\sin x+\cos x=1\] squaring both sides \[\sin ^2 x+\cos ^2x+2\sin x \cos x=1\] \[1+\sin 2x=1,\sin 2x=0=\sin n \pi,2x=n \pi,x=\frac{ n \pi }{ 2 }\] where n is an integer.
Ammarah
  • Ammarah
wait why square both sides
anonymous
  • anonymous
\[\sin ^2x+\cos ^2x=1\]

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anonymous
  • anonymous
\[\sin 2x=2\sin x \cos x\]
Ammarah
  • Ammarah
so sin x+cosx =sin 2x
Ammarah
  • Ammarah
could u show me step by step process, i will memorize the identities.
Ammarah
  • Ammarah
like how did u get from sinx + cosx to sin 2xcos2x??
anonymous
  • anonymous
i know the identity \[\sin ^2x+\cos ^2x=1\] sin 2x=2sinx cosx the idea is to change in one trigonomety ratio only.
Ammarah
  • Ammarah
ok

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