Question
Download Solution PDFयदि cot θ = 3/4 है, तो sin 3θ का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
cot θ = 3/4
प्रयुक्त सूत्र:
sin 3θ = 3sin θ - 4sin3 θ
गणना:
cot θ = 3/4
⇒ tan θ = 4/3
⇒ sin θ = 4/5
⇒ sin3 θ = (4/5)3 = 64/125
⇒ sin 3θ = 3 × (4/5) - 4 × (64/125)
⇒ sin 3θ = 12/5 - 256/125
⇒ sin 3θ = 300/125 - 256/125
⇒ sin 3θ = 44/125
∴ सही उत्तर विकल्प (1) है।
Last updated on Jul 19, 2025
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