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If - cosec = 4 3 , then what is ( - ) equal to?

Options

  1. A-2 only
  2. B1 2 only
  3. CBoth -2 and 1 2
  4. DNeither 1 2 nor -2

Correct answer

B. 1 2 only

Step-by-step solution

aligned & - cosec = 4 3 1 - 1 = 4 3 & - = 4 3 & ( - )^2 ( )^2 = 16 9 & ^2 + ^2 -2 ^2 ^2 = 16 9 & 1-2 ^2 ^2 = 16 9 aligned aligned & Let =x 1-2 x x^2 = 16 9 & 16 x^2+18 x-9=0 & (8 x-3)(2 x+3)=0 & x= 3 8 , x= -3 2 & = 3 8 aligned from (i), - = 4 3 3 8 = 4 8 = 1 2

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