যদি A সূক্ষ্মকোণ এবং sinA = 12/13 হয়, তবে cotA এর মান কত?
Solution
Correct Answer: Option B
দেয়া আছে,
sinA = 12/13
আমরা জানি
cosA = √(1 - sin2A)
cosA = √{1 - (12/13)2}
= √{1 - 144/169}
= √{(169 - 144)/169}
= √{(169 - 144)/169}
= √(25/169)
= 5/13
তারপর,
cotA = cosA/sinA
= (5/13)/(12/13)
= (5/13) × (13/12)
= 5/12
sinA = 12/13
আমরা জানি
cosA = √(1 - sin2A)
cosA = √{1 - (12/13)2}
= √{1 - 144/169}
= √{(169 - 144)/169}
= √{(169 - 144)/169}
= √(25/169)
= 5/13
তারপর,
cotA = cosA/sinA
= (5/13)/(12/13)
= (5/13) × (13/12)
= 5/12
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