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AP EAMCET202316 May 2023Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If = 9 , then 1+27 ^2 -33 ^4 + ^6 =

Options

  1. A3
  2. B4
  3. C-3
  4. D-11

Correct answer

B. 4

Step-by-step solution

We know, at = 9 aligned & 3 = 3 & 3 - ^3 1-3 ^2 = 3 & (3 - ^3 )^2=3 (1-3 ^2 )^2 & 9 ^2 + ^6 -6 ^4 & =3 (1+9 ^4 -6 ^2 ) & 9 ^2 + ^6 -6 ^4 & =3+27 ^4 -18 ^2 & ^6 +27 ^2 -33 ^4 +1=4 aligned

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