Question
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Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
sin A + cos A = 4/3
प्रयुक्त सूत्र:
sin2 A + cos2 A = 1
गणना:
(sin A + cos A)2 = (4/3)2
⇒ sin2 A + cos2 A + 2sin A cos A = 16/9
⇒ 1 + 2sin A cos A = 16/9
⇒ 2sin A cos A = 16/9 - 1
⇒ 2sin A cos A = 16/9 - 9/9
⇒ 2sin A cos A = 7/9
⇒ sin A cos A = 7/18
अब, tan A + cot A = (sin A / cos A) + (cos A / sin A) = (sin2 A + cos2 A) / (sin A cos A) = 1 / (sin A cos A)
⇒ tan A + cot A = 1 / (7/18)
⇒ tan A + cot A = 18/7
∴ tan A + cot A का मान 18/7 है।
Last updated on Jul 15, 2025
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