Question
Download Solution PDFIf cot B = 9, then what will be the value of sec2 B?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
cot B = 9
Concept used:
1. cosec2 θ - cot2 θ = 1
2. sin2 θ + cos2 θ = 1
3. sin θ = 1/cosec θ
4. cos θ = 1/sec θ
Calculation:
cot B = 9
⇒ cot2 B = 81
⇒ 1 + cot2 B = 1 + 81
⇒ cosec2 B = 82
⇒ sin2 B = 1/82
⇒ 1 - sin2 B = 1 - 1/82
⇒ cos2 B = 81/82
⇒ sec2 B = 82/81
∴ The value of sec2 B is 82/81.
Last updated on Jul 12, 2025
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