Mathematics · Application of Derivatives
If β is the angle between the normals drawn to the curve x2 + 3y2 = 9 at the points (3 cos(θ), √3 sin(θ)) and (-3 sin(θ), √3 cos(θ)), where θ ∈ (0, π/2), then which of the following relations is correct?
- 1cot(β) = 1√2 sec(2θ)
- 2√3 cot(β) = sin(2θ)✓
- 3cot(β) = √3 cosec(2θ)
- 4tan(β) = 1√3 sec(2θ)
Correct answer
√3 cot(β) = sin(2θ)
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