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TS EAMCET · Maths · Differentiation

If x=cosecθ-sinθ,y=cosec2022θ-sin2022θ and dydx2=ky2+4gx where k, then 10+k-g2022=

  1. A 0
  2. B 6
  3. C 10
  4. D 14
Verified Solution

Answer & Solution

Correct Answer

(B) 6

Step-by-step Solution

Detailed explanation

Given, x=cosecθ-sinθ So, dxdθ=-cosecθcotθ-cosθ=-cotθcosecθ+sinθ ....1 y=cosec2022θ-sin2022θ So, dydθ=-2022cosec2021θcosecθcotθ-2022sin2021θcosθ…