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If cosec (90+A)+x A (90+A)= (90+A) then the value of x is

Options

  1. Acosec A
  2. BA
  3. CA
  4. DA

Correct answer

C. A

Step-by-step solution

Using trigonometric identities for allied angles: cosec (90^ + A) = A (90^ + A) = - A (90^ + A) = A Substituting these into the given equation: A + x A (- A) = A 1 A - x A ( A A ) = A 1 A - x A = A Rearranging the terms to solve for x A : x A = 1 A - A x A = 1 - ^2 A A x A = ^2 A A x = ^2 A A A x = A A = A Answer: A

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