Question
Download Solution PDFAnswer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
cot θ = 3/4
Formula used:
sin 3θ = 3sin θ - 4sin3 θ
Calculation:
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
∴ The correct answer is option (1).
Last updated on Jul 17, 2025
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