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AP EAMCET202124 Aug 2021Evening ShiftMathematicsTrigonometric EquationsActual

aligned & Given, 1^ x^ (x+1)^ = x^ - (x+1)^ , & then the value of 1 45^ 46^ & + 1 46^ 47^ + + 1 89^ 90^ is aligned

Options

  1. A1^
  2. B1^
  3. C- 1^
  4. Dcosec 1^

Correct answer

D. cosec 1^

Step-by-step solution

Given, 1^ x^0 (x+1)^ = x^ - (x^ +1 ) 1 45^ 46^ + 1 46^ 47^ + + 1 89 90^ array r = 1 sin l ^ [ 45^ - 46^ + 46^ - 47^ + . . 89^ - 90^ ] array 1 1 ^ [ 45^ ]= 1 sin l ^ = cosec 1^

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