Question
Download Solution PDFIf Cos A = \({{9} \over 41}\), find cot A.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Cos A = 9/41
Formula used:
cot A = cos A/sin A
Cos2 A + sin2 A = 1
Calculation:
Cos2 A + sin2 A = 1
⇒ ( 9/41)2 + sin2 A = 1
⇒ sin2 A = 1 - 81/1681
⇒ sin2 A = 1600/1681
⇒ sin A = 40/41
⇒ cot A = cos A/sin A
⇒ cot A = 9/40
∴ Option 1 is the correct answer.
Last updated on Jun 13, 2025
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