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If p = cosec θ – cot θ and q = (cosec θ + cot θ)-1 then which one of the following is correct?
  • a)
    p - q = 1
  • b)
    p = q
  • c)
    p + q = 1
  • d)
    p + q = 0
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If p = cosec θ – cot θ and q = (cosec θ + cot ...
Concept:
cosec2 x – cot2 x = 1
Calculation:
Given: p = cosec θ – cot θ and q = (cosec θ + cot θ)-1
⇒ cosec θ + cot θ = 1/q
As we know that, cosec2 x – cot2 x = 1
⇒ (cosec θ + cot θ) × (cosec θ – cot θ) = 1
1/q × p = 1
⇒ p = q
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Most Upvoted Answer
If p = cosec θ – cot θ and q = (cosec θ + cot ...
Concept:
cosec2 x – cot2 x = 1
Calculation:
Given: p = cosec θ – cot θ and q = (cosec θ + cot θ)-1
⇒ cosec θ + cot θ = 1/q
As we know that, cosec2 x – cot2 x = 1
⇒ (cosec θ + cot θ) × (cosec θ – cot θ) = 1
1/q × p = 1
⇒ p = q
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Community Answer
If p = cosec θ – cot θ and q = (cosec θ + cot ...
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If p = cosec θ – cot θ and q = (cosec θ + cot θ)-1then which one of the following is correct?a)p - q = 1b)p = qc)p + q = 1d)p + q = 0Correct answer is option 'B'. Can you explain this answer?
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