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NDA2019MathematicsTrigonometric Ratios & IdentitiesActual

If p= cosec - and q=( cosec + )⁻¹ , then which one of the following is correct?

Options

  1. Apq =1
  2. Bp = q
  3. Cp + q =1
  4. Dp+q=0

Correct answer

B. p = q

Step-by-step solution

p = cosec - aligned & q =( cosec + )⁻¹ & 1 q = cosec + aligned We know, cosec ^2 - ^2 =1 aligned & ( cosec + )( cosec - )=1 & ( 1 q )(p)=1 & p = q aligned

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