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Manipal MET2011MathematicsTrigonometric Ratios & Identities

aligned & (1+ 8 ) (1+ 3 8 ) (1+ 5 8 ) & (1+ 7 8 ) aligned is equal to

Options

  1. A1 2
  2. B1 8
  3. C8
  4. D1+ 2 2 2

Correct answer

B. 1 8

Step-by-step solution

aligned & (1+ 8 ) (1+ 3 8 ) (1- 3 8 ) (1- 8 ) & = (1- ^2 8 ) (1- ^2 3 8 ) & = ( 8 3 8 )^2 aligned aligned & = 1 4 (2 3 8 8 )^2 & = 1 4 ( 4 - 2 )^2= 1 8 aligned

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