Question
Download Solution PDFsin x + cos x = √2 sin x అయితే, sin x - cos x విలువ:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చినది:
sin x + cos x = √2 sin x
ఉపయోగించిన సూత్రం:
త్రికోణమితి గుర్తింపులు మరియు బీజగణితం.
a2 - b2 = (a - b) x (a + b)
గణన:
ఇచ్చిన సమీకరణం నుండి ప్రారంభిద్దాం:
sin x + cos x = √2 sin x
రెండు వైపులా వర్గం చేయడం
(sin x + cos x)2 = (√ 2sinx)2
⇒ sin2x + cos2x + 2sinxcosx = 2sin2x
⇒ 2sinxcosx = sin2x - cos2x
⇒ 2sinxcosx = (sinx - cosx) x (sin x + cos x)
⇒ 2sinxcosx = (sinx - cosx) x √ 2sinx
⇒ √ 2cosx = (sinx - cosx)
సరైన సమాధానం 4వ ఎంపిక.
Last updated on Jun 17, 2025
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