Question
Download Solution PDF(19 sin θ + 6 cot θ sin θ) యొక్క గరిష్ట విలువను కనుగొనండి?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇవ్వబడింది:
సమాసము: 19 sin θ + 6 cot θ sin θ
ఉపయోగించిన సూత్రం:
a sin θ + b cos θ రూపంలోని సమాసము యొక్క గరిష్ట విలువ √(a² + b²) .
గణనలు:
y = 19 sin θ + 6 cot θ sin θ అనుకుందాం
cot θ = cos θ / sin θ అని మనకు తెలుసు
ప్రతిక్షేపించగా, y = 19 sin θ + 6 (cos θ)
ఇక్కడ, a = 19 మరియు b = 6
గరిష్ట విలువ = √(19² + 6²)
⇒ √(361 + 36) = √397
∴ (19 sin θ + 6 cot θ sin θ) యొక్క గరిష్ట విలువ √397 .
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