Question
Download Solution PDFयदि sin t + cos t = \(\frac{4}{5}\) है, तो sin t. cos t का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
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sin t + cos t = \(\frac{4}{5}\)
दोनों पक्षों का वर्ग करने पर,
(sin t + cos t)2 = (4/5)2
⇒ (sin2t + cos2t + 2 × sin t × cos t = 16/25
⇒ 1 + 2 × sin t × cos t = 16/25 ......(sin2t + cos2t = 1)
⇒ 2 × sin t × cos t = 16/25 - 1
⇒ 2 × sin t × cos t = -9/25
⇒ sin t × cos t = -9/50
Last updated on Jun 13, 2025
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