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MHT CET202210 Aug 2022Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If p= 20^ , then value of 160^ - 110^ 1+ 160^ 110^ , in terms of p is

Options

  1. A1+p^2 2 p^2
  2. B1+p^2 2 p
  3. C1-p^2 2 p
  4. D1-p^2 2 p^2

Correct answer

C. 1-p^2 2 p

Step-by-step solution

aligned & 160^ - 110^ 1+ 160^ 110^ = (160^ -110^ )= 50^ & = (90^ -40^ )= 40^ = 1 40^ & = 1 2 ₂ 0^ 1- ^2 20^ = 1- ^2 20^ 2 20^ = 1-p^2 2 p aligned

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