Question
Download Solution PDF(19 sin θ + 6 cot θ sin θ) चे महत्तम मूल्य काढा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
व्यंजक: 19 sin θ + 6 cot θ sin θ
वापरलेले सूत्र:
a sin θ + b cos θ या स्वरूपाच्या व्यंजकाचे महत्तम मूल्य √(a² + b²) असते.
गणना:
समजा y = 19 sin θ + 6 cot θ sin θ
आपल्याला माहीत आहे की cot θ = cos θ / sin θ
प्रतिस्थापन करून, y = 19 sin θ + 6 (cos θ)
येथे, a = 19 आणि b = 6
महत्तम मूल्य = √(19² + 6²)
⇒ √(361 + 36) = √397
म्हणून (19 sin θ + 6 cot θ sin θ) चे महत्तम मूल्य √397 आहे.
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