If x = a (θ + sin θ) and y = a (1 – cos θ),

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If x = a (θ + sin θ) and y = a (1 – cos θ), then dy/ dx will be equal to

1. sin θ
  2
2. cos θ
  2
3. tan θ
  2
4. cot θ
  2

Correct Option: C

Given: x = a(θ + sin θ), y = a(1 – cos θ)

∴	dx	= a(1 + cosθ) , and
	dθ

	dy	= a(sinθ) = asinθ
	dθ

	dy	=	dy	=	a sinθ
			dθ

	dx		dx		a( 1 + cosθ )
			dθ

=	2asin	θ	cos	θ	= tan	θ
		2		2

	a × 2cos²	θ				2
		2