Question
Download Solution PDFIf p = cosec θ – cot θ and q = (cosec θ + cot θ)-1 then which one of the following is correct?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
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
\(\frac1q \times p=1\)
⇒ p = qLast updated on May 30, 2025
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