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KVPY2010MathematicsTrigonometric Ratios & Identities

The product (1+ 1^ ) (1+ 2^ ) (1+ 3^ ) (1+ 45^ ) equals-

Options

  1. A2²¹
  2. B2²²
  3. C2²³
  4. D2²⁵

Correct answer

C. 2²³

Step-by-step solution

(1+ )(1+ (45- ))=(1+ ) (1+ 1- 1+ )=2 (1+ 1^ ) (1+ 44^ )=2 etc so product =2²² (1+ 45^ )=2²³

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