Question
Download Solution PDFयदि cot 75° = 2 - है, तो cot 15° का मान है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
cot 75° = 2 - √ 3
प्रयुक्त सूत्र:
cot (90 - θ) = tanθ
गणना:
cot(90° - 15° ) = 2 - √ 3
⇒ tan15° = 2 - √ 3
⇒
⇒ अब,
परिमेयकरण करने से, हमें प्राप्त होता है,
⇒
⇒ (2 + √3)/(4-3)
⇒ (2 + √3)/1
∴ cot 15° का मान (2 + √3) है।
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